Form 6-K

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                        Report of Foreign Private Issuer

                        Pursuant to Rule 13a-16 or 15d-16
                     of the Securities Exchange Act of 1934

                         For the month of December, 2005

                              CONVERIUM HOLDING AG
                   ------------------------------------------
                 (Translation of registrant's name into English)

                                 Baarerstrasse 8
                                   CH-6300 Zug
                                   Switzerland
             -------------------------------------------------------
                    (Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports
under cover Form 20-F or Form 40-F.

                         Form 20-F    X    Form 40-F        
                                   -------           -------

Indicate by check mark whether the registrant by furnishing the information
contained in this Form is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                                Yes         No    X   
                                    -------    -------

If "Yes" is marked,  indicate  the file  number  assigned to the  registrant  in
connection with Rule 12g3-2(b): 82- Not Applicable





Converium Holding Ltd, Zug


Zug,  Switzerland - December 19, 2005:  Converium today reports on the status of
its extensive internal review and the resulting  restatement of accounts as well
as on the third quarter results

     --   Following the restatement of accounts, shareholders' equity as of June
          30, 2005 increases by US$ 69.3 million to US$ 1,717.5 million.

     --   For the third quarter of 2005, Converium reports a net loss of US$ 6.9
          million.  For the nine months  ended  September  30,  2005,  Converium
          reports net income of US$ 34.5 million.

     --   Shareholders' equity at September 30, 2005 is US$ 1,697.3 million.

Restatement of accounts

On  November  4, 2005,  Converium  announced  its plan to restate  prior  period
financial  statements.  This  decision  was  taken in light  of  findings  of an
extensive  internal review,  overseen by the Audit Committee with the assistance
of  independent  outside  counsel,  launched  against  the  backdrop  of ongoing
investigations by regulators and governmental  authorities into  non-traditional
insurance and reinsurance products. The internal review addresses issues arising
from the ongoing  governmental  inquiries and Converium's own decision to review
certain additional items.

As  a  result  of  the  review,  Converium  will  restate  its  prior  financial
information  for periods  through 2004, as well as for each of the quarters from
March 31,  2003  through  June 30,  2005.  Converium  today  provides  unaudited
restated  financial  information  for its  December  31,  2004 and June 30, 2005
balance  sheets.  The  Company  expects to report in full on the  effects of the
restatement on its previously reported financial information in the near future.

The  restatement  resulted in an increase to previously  reported  shareholders'
equity as of June 30,  2005 of US$ 69.3  million to US$  1,717.5  million and an
increase as of December  31,  2004 of US$ 14.6  million to US$ 1,734.8  million.
Additional details pertaining to restatement amounts as of December 31, 2004 and
June  30,  2005 are  provided  in  Attachment  2.  Although  the  impact  of the
restatement  on   shareholders'   equity  as  of  June  30,  2005  is  positive,
shareholders'  equity for certain  periods  prior to December 2004 will decrease
materially.

As a result of the restatement,  any previously  published financial  statements
and  information  should not be viewed as a basis of  comparison  to the results
presented  today and  should no longer be relied  upon.  Converium  will file an
amended Form 20-F  reflecting the  restatement  adjustments  and their impact on
previous disclosures and financial statements. Further, the previously published
financial  statements should be considered unaudited until the amended Form 20-F
is filed and PricewaterhouseCoopers Ltd completes its re-audit and re-issues its
Report  of  the  Independent  Group  Auditors  with  respect  to  the  financial
statements included therein.

While more detailed  information  will be provided  when the restated  financial
information for all periods is provided,  the following  summary  information is
presented at this time:

     --   As a result of the internal  review  Converium  has  concluded  that a
          number of transactions  previously  accounted for as reinsurance  were
          accounted  for   incorrectly   under  the   requirements  of  FAS  113
          ("Accounting  and  Reporting for  Reinsurance  of  Short-Duration  and
          Long-Duration  Contracts").  As a result,  the  financial  information
          relating to these transactions was restated to be recorded as deposits
          or on a retroactive basis, as appropriate.

          In some cases, these transactions involved written or oral agreements,
          understandings or discussions  relating to risk expectations that were
          not appropriately reflected in the accounting treatment at the time of
          origination.   Arrangements   of  this  type  would  have  reduced  or
          eliminated  the  anticipated  risk  transfer  on  which  the  original
          accounting  was based.  In other cases,  the  internal  review did not
          conclusively  establish  whether  such  arrangements  existed  but the
          restatement  was deemed  advisable  in light of evidence  suggesting a
          reasonable possibility of such arrangements.

          This  resulted  in a decrease of  shareholders'  equity as of June 30,
          2005 of US$ 49.8 million.



     --   The  restatement  with  respect to the  accounting  for  income  taxes
          resulted  principally  from  corrections  of the  valuation  allowance
          against  deferred  taxes  recorded in 2004 because of the  substantial
          losses   incurred   that  year.   This  resulted  in  an  increase  of
          shareholders' equity as of June 30, 2005 of US$ 126.6 million.

     --   The  adjustments  reflected in the  restatement  will also include the
          correction of certain unrelated  entries.  This resulted in a decrease
          of shareholders' equity as of June 30, 2005 of US$ 7.5 million.

After  discussing the findings of the review with  independent  outside counsel,
Converium's   Audit  Committee   determined  that  the  recommended   accounting
corrections were appropriate and authorized the restatement.

As  previously  reported  in our 2004 Form  20-F,  management  and our  external
auditors  informed the Audit Committee that they had identified  certain matters
that constituted material weaknesses in Converium's internal control environment
as at December  31, 2004.  In addition,  the Audit  Committee  has  subsequently
identified  material weaknesses in internal controls designed (i) to ensure that
the underwriting and risk transfer  analysis  reflects all relevant  elements of
contractual  relationships  entered  into by the Company and (ii) to account for
income  taxes.  The  Company  is taking  actions to  address  weaknesses  in its
internal control environment.

As reported before, Converium has received subpoenas and informal inquiries from
certain governmental  authorities with respect to non-traditional  insurance and
reinsurance  products.  The  Company is in the process of sharing the results of
its internal  review with relevant  authorities  and will continue to respond to
all regulatory inquiries, as appropriate.

Although the internal review was extensive,  the ongoing governmental inquiries,
or other  developments,  could  result in further  restatements  of  Converium's
financial results in the future.

Peter C. Colombo,  Chairman of the Board of Directors  and the Audit  Committee,
commented:  "The Audit Committee  believes that Converium's  internal review was
comprehensive  and  thorough.  Based  on the  review,  we now  feel  comfortable
publishing  important data such as our most recent equity  position and relevant
details pertaining to the third quarter of 2005. As anticipated, the restatement
had a positive impact on Converium's June 30, 2005 shareholders' equity."

Peter C. Colombo added:  "Based on our rigorous  internal review, we do not have
any  reason  to  believe  that  there are any other  transactions  that  require
restatement.  Of course,  we cannot exclude the possibility  that further action
will be necessary as the  governmental  inquires  will continue and we intend to
cooperate with the regulators."



Financial results of the three and nine months ended September 30, 2005

Key metrics (in US$, unless noted)



                                                       Three months ended    Nine months ended
                                                       September 30, 2005    September 30, 2005*
                                                                                      
   Gross premiums written                                           482.6               1,618.9
   Net premiums written                                             432.4               1,501.2
   Net premiums earned                                              605.2               1,941.7
   Total investment result                                           70.5                 238.8
   (Loss) income before taxes                                        -1.3                  45.5
   Net (loss) income                                                 -6.9                  34.5
   Basic (loss) earnings per share                                  -0.05                  0.24
   Annualized return on shareholders' equity                         -1.6%                  2.7%
   Ongoing non-life loss ratio(1)                                    89.7%                 79.6%
   Ongoing non-life underwriting expense ratio(1)                    15.3%                 20.3%
   Ongoing non-life administration expense ratio(1)                   5.9%                  6.6%
   (1)Ongoing non-life combined ratio                               110.9%                106.5%
   (2)Pre-tax operating income                                       22.1                  98.0
   Average annualized total investment income yield
    (pre-tax)                                                         3.6%                  4.0%


*Reflects the effects of the restatement

The table below shows the  reconciliation  to pre-tax  operating  income for the
three and nine months ended September 30, 2005:




                                                       Three months ended     Nine months ended
                                                       September 30, 2005    September 30, 2005
                                                                                      
Pre-tax operating income                                             22.1                  98.0
Net realized capital (losses) gains                                  -6.4                  -8.1
Amortization of intangible assets                                    -7.5                 -21.3
Restructuring costs                                                  -9.5                 -23.1
(Loss) income before taxes                                           -1.3                  45.5


Converium produces a close to break-even result for the third quarter

For the third quarter of 2005, Converium reported a loss before taxes of US$ 1.3
million,  a pre-tax  operating  income of US$ 22.1 million and a net loss of US$
6.9 million.  The third  quarter of 2005 was impacted by the US  hurricanes  and
European  floods in the amount of US$ 74.2  million and costs of US$ 9.5 million
associated with our  organizational  and operational  restructuring.  Offsetting
this was the  positive  impact  of the  commutations  carried  out in the  third
quarter  of 2005 in the  amount  of US$  39.0  million  as well as net  positive
development of prior years' loss reserves in the amount of US$ 11.3 million.  In
addition, the quarter was positively impacted by the reduction of administration
expenses due to the  realization of cost  management  measures  adopted early in
2005 as well as solid investment results.



In the third quarter of 2005  Converium  recorded gross  premiums  written,  net
premiums  written,  and net  premiums  earned  of US$ 482.6  million,  US$ 432.4
million  and  US$  605.2  million,   respectively,   which  were  in  line  with
expectations.  The premium  figures  reflect the  reduction  in business  volume
caused by the placement of Converium  Reinsurance  (North  America) Inc.  (CRNA)
into  orderly  run-off in 2004 and the impact of the ratings  downgrades  in the
same year.

Overall,  Converium  continues to believe that its gross premiums written target
of approximately US$ 2.0 billion for the 2005 calendar year is achievable.

Converium's shareholders' equity amounted to US$ 1,697.3 million as of September
30, 2005 as compared to US$ 1,717.5  million  restated as of June 30, 2005.  The
decrease  reflects the net loss for the third  quarter as well as effects due to
currency translations and unrealized capital losses.

Noticeable impact of natural catastrophes

For the third  quarter of 2005,  the  non-life  combined  ratio for  Converium's
ongoing  operations  was 110.9%  (including an  administration  expense ratio of
5.9%). For the nine months ended September 30, 2005, the non-life combined ratio
for the ongoing operations was 106.5% (including an administration expense ratio
of 6.6%).

In the third quarter of 2005,  Converium recorded losses from Hurricane Katrina,
Hurricane  Rita,  Hurricanes  Dennis and Emily and the  European  floods with an
estimated  total  net  impact of US$ 37.5  million,  US$ 10.0  million,  US$ 2.3
million and US$ 24.4 million,  respectively. The ongoing non-life combined ratio
excluding the impact of the hurricanes  and the European  floods would have been
97.8% for the third quarter of 2005,  which  excludes US$ 11.4 million of losses
related to Hurricane Katrina that were recorded in the Run-Off segment.

Based on  preliminary  estimates,  Converium  expects  its losses for  Hurricane
Wilma,  which  occurred in the fourth quarter of 2005, to be in the range of US$
25.0 million to US$ 35.0 million.

Favorable loss reserve development

In the third  quarter of 2005  Converium  recorded net positive  development  of
prior years' loss  reserves of US$ 11.3 million,  which  resulted in overall net
positive development of US$ 15.0 million for the nine months ended September 30,
2005.  For the third  quarter  of 2005,  net  positive  development  of US$ 23.7
million was  recorded  in the  Company's  ongoing  operations,  which  primarily
consisted of US$ 31.4 million of net  positive  development  within the Property
line  of  business  and  was  partially  offset  by  US$  16.5  million  of  net
strengthening within the General Third Party Liability line of business.  In the
Run-Off  segment,  net  strengthening  of prior years' loss reserves of US$ 12.4
million was recorded for the third quarter of 2005, which primarily consisted of
US$ 5.8 million of net positive development in the Property line of business and
was offset by US$ 14.6  million of net  strengthening  within the General  Third
Party Liability line of business.

Converium  believes that the continuing  stability of its aggregate prior years'
loss reserve position reflects the adequacy of prior reserving actions.

CRNA run-off on track; commutations target to be exceeded

For the nine months ended  September  30, 2005,  CRNA's net loss  reserves  have
decreased by US$ 443.5 million,  including the effects of commutations and other
settlements.  The commutations  resulted in a positive  contribution of US$ 39.0
million to net income in the third quarter of 2005.  Since December 31, 2004 net
loss reserves at CRNA have declined to approximately  US$ 1.3 billion.  In light
of further  commutations  carried out in the fourth  quarter of 2005,  Converium
will exceed its previously stated target of commuting or otherwise settling CRNA
liabilities of approximately US$ 500 million for the full year 2005.



Progress in trimming cost base

In the third quarter of 2005, the  administration  expense ratio for the ongoing
non-life  business  (excluding  Corporate  Center segment costs) was 5.9%. Other
operating and  administration  expenses for the Company were US$ 40.3 million, a
decrease of US$ 10.1 million or 20.0% compared to the second quarter of 2005.

As expected,  the cost  management  measures  initiated in March 2005 have taken
effect in the third quarter of 2005. The Company reaffirms that it will continue
to incur certain  expenses  which it considers  crucial  investments in order to
expedite its rebound following the restoration of its financial strength ratings
and to accelerate the recovery of its market position.

Solid investment result

In the third quarter of 2005,  Converium  generated a total investment result of
US$  70.5  million  or an  average  annualized  total  investment  income  yield
(pre-tax) of 3.6%. Net  investment  income for the third quarter of 2005 was US$
76.9 million.  Converium's  third quarter 2005  investment  results  reflect the
realization of capital  losses due to the  liquidation of investments to support
the Company's third quarter commutation efforts.

Terry Clarke,  CEO, said:  "Converium's  operating recovery has continued in the
third quarter. We have absorbed significant catastrophe losses, and yet achieved
a close to break-even  result.  Our capital base  continues to be strong after a
quarter  which  has  been  the  costliest  ever  for the  global  insurance  and
reinsurance  industry.  As anticipated,  our equity position as of June 30, 2005
was positively impacted by the restatement of accounts."

Mr.  Clarke  added:  "We are also  pleased  with the pace of the North  American
run-off,  which exceeds our targets,  as well as with the sizeable  reduction of
administrative expenses."

Converium has made it a policy not to provide any  quarterly or annual  earnings
guidance and it will not update any past outlook for full year earnings. It will
however  continue to provide  investors with  perspectives on its value drivers,
its  strategic  initiatives  and those  factors  critical to  understanding  its
business and operating environment.


Enquiries:

Esther Gerster                                  Zuzana Drozd
Head of Public Relations                        Head of Investor Relations

esther.gerster@converium.com                    zuzana.drozd@converium.com

Phone:     +41 (0) 44 639 90 22                 Phone:     +41 (0) 44 639 91 20
Fax:       +41 (0) 44 639 70 22                 Fax:       +41 (0) 44 639 71 20


About Converium

Converium is an independent  international  multi-line  reinsurer  known for its
innovation,  professionalism  and service.  Today  Converium  employs  about 600
people  in 20  offices  around  the globe and is  organized  into four  business
segments:  Standard Property & Casualty Reinsurance,  Specialty Lines and Life &
Health  Reinsurance,  which are based  principally  on ongoing  global  lines of
business, as well as the Run-Off segment, which primarily comprises the business
from Converium  Reinsurance  (North  America) Inc.,  excluding the US originated
aviation business portfolio. Converium has a "BBB+" rating (outlook stable) from
Standard & Poor's and a "B++" rating (outlook stable) from A.M. Best Company.



Important Disclaimer

This document contains forward-looking statements as defined in the U.S. Private
Securities Litigation Reform Act of 1995. It contains forward-looking statements
and information relating to the Company's financial condition, results of
operations, business, strategy and plans, based on currently available
information. These statements are often, but not always, made through the use of
words or phrases such as ` seek to', `expects', `should continue', `believes',
`anticipates', `estimates' and `intends'. The specific forward-looking
statements cover, among other matters, the Company's internal review and related
restatement, the reinsurance market, the Company's operating results, the rating
environment and the prospect for improving results and expense reductions. Such
statements are inherently subject to certain risks and uncertainties. Actual
future results and trends could differ materially from those set forth in such
statements due to various factors. Such factors include the impact of our
ratings downgrade or a further lowering or loss of one of our financial strength
ratings; the impact of the restatement on our ratings and client relationships;
uncertainties of assumptions used in our reserving process; risk associated with
implementing our business strategies and our capital improvement measures and
the run-off of our North American business; cyclicality of the reinsurance
industry; the occurrence of natural and man-made catastrophic events with a
frequency or severity exceeding our estimates; acts of terrorism and acts of
war; changes in economic conditions, including interest and currency rate
conditions that could affect our investment portfolio; actions of competitors,
including industry consolidation and development of competing financial
products; a decrease in the level of demand for our reinsurance or increased
competition in our industries or markets; a loss of our key employees or
executive officers without suitable replacements being recruited within a
suitable period of time; our ability to address material weaknesses we have
identified in our internal control environment; political risks in the countries
in which we operate or in which we reinsure risks; the passage of additional
legislation or the promulgation of new regulation in a jurisdiction in which we
or our clients operate or where our subsidiaries are organized; the effect on us
and the insurance industry as a result of the investigations being carried out
by the US Securities and Exchange Commission, New York's Attorney General and
other governmental authorities; changes in our investment results due to the
changed composition of our invested assets or changes in our investment policy;
failure of our retrocessional reinsurers to honor their obligations or changes
in the credit worthiness of our reinsurers; our failure to prevail in any
current or future arbitration or litigation; and extraordinary events affecting
our clients, such as bankruptcies and liquidations , and other risks and
uncertainties, including those detailed in the Company's filings with the U.S.
Securities and Exchange Commission and the SWX Swiss Exchange. The Company does
not assume any obligation to update any forward-looking statements, whether as a
result of new information, future events or otherwise.

www.converium.com



  Attachment 1

  Selected third quarter financial results


  Basis of preparation

The  unaudited  interim  financial  information  for  Converium  Holding Ltd and
subsidiaries  ("Converium"  or "the  Company") has been prepared on the basis of
United States generally  accepted  accounting  principles for interim  financial
information.  Accordingly,  such financial  information does not reflect all the
information  required by generally accepted  accounting  principles for complete
financial statements.  In the opinion of management,  all adjustments considered
necessary for a fair presentation have been included.  The results of operations
for the interim period are not necessarily indicative of the results that may be
expected  for the year  ended  December  31,  2005,  as interim  results  may be
affected  by several  factors  including,  but not  limited  to,  changes in the
economic environment and catastrophic losses. Financial information for the year
ended December 31, 2004 and the period ended June 30, 2005 has been restated and
the interim  financial  information for the nine months ended September 30, 2005
reflects the effects of the restatement. A summary of the restatement effects is
included below:

     o    As a result of the internal  review  Converium  has  concluded  that a
          number of transactions  previously  accounted for as reinsurance  were
          accounted  for   incorrectly   under  the   requirements  of  FAS  113
          ("Accounting  and  Reporting for  Reinsurance  of  Short-Duration  and
          Long-Duration  Contracts").  As a result,  the  financial  information
          relating to these transactions was restated to be recorded as deposits
          or on a retroactive basis, as appropriate.

     o    The  restatement  with  respect to the  accounting  for  income  taxes
          resulted  principally  from  corrections  of the  valuation  allowance
          against  deferred  taxes  recorded in 2004 because of the  substantial
          losses incurred that year.

     o    The  adjustments   reflected  in  the  restatement  also  include  the
          correction of certain unrelated entries.

The impact of the above items on  shareholders'  equity at December  31, 2004 is
shown on the "Consolidated statement of changes in shareholders' equity".

In addition,  certain  reclassifications have been made to prior year amounts to
conform to current year's presentation.

As a result of the restatement,  any previously  published financial  statements
and  information  should not be viewed as a basis of  comparison  to the results
presented  today and  should no longer be relied  upon.  Converium  will file an
amended Form 20-F  reflecting the  restatement  adjustments  and their impact on
previous disclosures and financial statements. Further, the previously published
financial  statements should be considered unaudited until the amended Form 20-F
is filed and PricewaterhouseCoopers Ltd completes its re-audit and re-issues its
Report  of  the  Independent  Group  Auditors  with  respect  to  the  financial
statements included therein.




   Attachment 1 (cont'd)

   Selected third quarter financial results




  Consolidated statements of income                                         Three months             Nine months
  (Unaudited)                                                                  ended                    ended

  In US$ million, unless noted                                           September 30, 2005      September 30, 2005*
                                                                                                              
  Revenues
  Gross premiums written                                                                 482.6                  1,618.9
  Less ceded premiums written                                                            -50.2                   -117.7
  Net premiums written                                                                   432.4                  1,501.2
  Net change in unearned premiums                                                        172.8                    440.5
  Net premiums earned                                                                    605.2                  1,941.7
  Net investment income                                                                   76.9                    246.9
  Net realized capital (losses) gains                                                     -6.4                     -8.1
  Other income (loss)                                                                      3.0                     -2.4
  Total revenues                                                                         678.7                  2,178.1

  Benefits, losses and expenses
  Losses, loss adjustment expenses and life benefits                                    -492.1                 -1,488.6
  Underwriting acquisition costs                                                        -122.9                   -428.4
  Other operating and administration expenses                                            -40.3                   -147.6
  Interest expense                                                                        -7.7                    -23.6
  Amortization of intangible assets                                                       -7.5                    -21.3
  Restructuring costs                                                                     -9.5                    -23.1
  Total benefits, losses and expenses                                                   -680.0                 -2,132.6
  (Loss) income before taxes                                                              -1.3                     45.5
  Income tax expense                                                                      -5.6                    -11.0
  Net (loss) income                                                                       -6.9                     34.5

  Basic (loss) earnings  per share (US$)                                                 -0.05                     0.24


  * Reflects the effects of the restatement




   Attachment 1 (cont'd)

   Selected third quarter financial results




    Consolidated condensed balance sheets                                           September 30,    December 31, 2004
    (Unaudited)                                                                         2005*            Restated
    In US$ million, unless noted

  Invested assets
                                                                                                              
  Held-to-maturity securities:
  Fixed maturities                                                                            803.2               850.4
  Available-for-sale securities:
         Fixed maturities                                                                   4,606.7             4,834.8
         Equity securities                                                                    442.2               399.4
  Other investments                                                                           252.7               279.2
  Short-term investments                                                                       72.2               117.3
  Total investments                                                                         6,177.0             6,481.1
  Funds Withheld Asset                                                                      1,111.0             1,305.1
  Total invested assets                                                                     7,288.0             7,786.2
  Other assets
  Cash and cash equivalents                                                                   317.9               680.9
  Premiums receivables:
         Current                                                                              523.8               401.7
         Accrued                                                                              989.9             1,413.1
  Reserves for unearned premiums, retro                                                        39.9                55.2
  Reinsurance assets:
         Underwriting reserves                                                                882.7               937.9
         Insurance balances receivable                                                         57.0               139.3
  Funds held by reinsureds                                                                  1,616.8             1,737.7
  Non-risk transfer reinsurance assets                                                        182.3               170.4
  Deferred policy acquisition costs                                                           331.2               482.7
  Deferred income taxes                                                                        89.2                79.8
  Other assets                                                                                360.9               358.6
  Total assets                                                                             12,679.6            14,243.5
  Liabilities
  Reinsurance liabilities
         Loss and loss adjustment expenses, gross                                           8,102.1             8,908.3
         Future life benefits, gross                                                          399.0               407.1
         Reinsurance balance payable                                                          406.0               566.1
  Reserves for unearned premiums, gross                                                       746.2             1,247.7
  Other reinsurance liabilities                                                               123.6                73.6
  Funds held under reinsurance contracts                                                      191.4               194.8
  Non-risk transfer reinsurance liabilities                                                   310.5               356.5
  Deferred income taxes                                                                        94.9                81.8
  Accrued expenses and other liabilities                                                      217.4               281.7
  Debt                                                                                        391.2               391.1
  Total liabilities                                                                        10,982.3            12,508.7

    Total shareholders' equity                                                              1,697.3             1,734.8
    Total liabilities and shareholders' equity                                             12,679.6            14,243.5


   * Reflects the effects of the restatement

   Note: Details of the equity section of the balance sheet and the related
   changes in equity will be available when the Company reports in full on the
   effects of the restatement on its previously reported financial information.



   Attachment 1 (cont'd)

   Selected third quarter financial results



   Consolidated statement of changes in shareholders' equity                                      Total equity
   (Unaudited)

   In US$ million, unless noted
                                                                                                        
   Balance, December 31, 2004 (as previously reported)                                                       1,720.2
   Reinsurance transactions                                                                                   -109.3
   Taxation adjustments                                                                                        130.7
   Other items                                                                                                  -6.8
   Balance, December 31, 2004 (restated)*                                                                    1,734.8
   Net income                                                                                                   34.5
   Change in net unrealized gains (losses) on investments, net of taxes                                         11.8
   Translation adjustments                                                                                     -86.8
   Total comprehensive loss                                                                                    -40.5
   Purchases of common shares                                                                                   -1.5
   Net amortization of stock compensation                                                                        4.5
   Balance, September 30, 2005                                                                               1,697.3



   Consolidated statement of changes in shareholders' equity                                     Total equity
   (Unaudited)

   In US$ million, unless noted

   Balance, June 30, 2005 (restated)*                                                                        1,717.5
   Net loss                                                                                                     -6.9
   Change in net unrealized gains (losses) on investments, net of taxes                                         -2.6
   Translation adjustments                                                                                     -11.6
   Total comprehensive loss                                                                                    -21.1
   Net amortization of stock compensation                                                                        0.9
   Balance, September 30, 2005                                                                               1,697.3


   * Reflects the effects of the restatement

Note:  Details  of the  changes in equity  will be  available  when the  Company
reports in full on the effects of the  restatement  on its  previously  reported
financial information.



   Attachment 2

   Summary of impact of restatement




    Consolidated balance sheets                                As of June 30, 2005        As of December 31, 2004
    (Unaudited)
                                       As
                                                            previously                   As previously
    In US$ million, unless noted                             reported      As restated     reported     As restated

    Invested assets
                                                                                                     
    Held-to-maturity securities:
    Fixed maturities                                              819.9           819.9          850.4         850.4
    Available-for-sale securities:
    Fixed maturities                                            4,951.1         4,951.1        4,834.8       4,834.8
    Equity securities                                             419.4           419.4          399.4         399.4
    Other investments                                             254.3           252.3          281.4         279.2
    Short-term investments                                         81.5            81.5          117.3         117.3
    Total investments                                           6,526.2         6,524.2        6,483.3       6,481.1
    Funds Withheld Asset                                        1,159.2         1,159.2        1,305.1       1,305.1
    Total invested assets                                       7,685.4         7,683.4        7,788.4       7,786.2

    Other assets
    Cash and cash equivalents                                     281.4           281.4          680.9         680.9
    Premiums receivables:
    Current                                                       331.9           368.5          416.5         401.7
    Accrued                                                     1,279.0         1,287.5        1,395.5       1,413.1
    Reserves for unearned premiums, retro                          83.6            44.1          111.6          55.2
    Reinsurance assets:
    Underwriting reserves                                         940.8           930.5        1,226.2         937.9
    Insurance balances receivable                                 390.9           332.9          233.5         139.3
    Funds held by reinsureds                                    1,609.4         1,615.9        1,721.3       1,737.7
    Non-risk transfer reinsurance assets                          139.1           180.6          137.0         170.4
    Deferred policy acquisition costs                             334.7           334.0          484.7         482.7
    Deferred income taxes                                          70.2            88.3           78.3          79.8
    Other assets                                                  346.3           382.5          335.4         358.6
    Total assets                                               13,492.7        13,529.6       14,609.3      14,243.5

    Liabilities
    Reinsurance liabilities
    Loss and loss adjustment expenses, gross                    8,266.8         8,416.1        8,915.6       8,908.3
    Future life benefits, gross                                   398.9           398.9          407.1         407.1
    Reinsurance balance payable                                   528.8           469.4          585.9         566.1
    Reserves for unearned premiums, gross                         971.8           922.2        1,312.3       1,247.7
    Other reinsurance liabilities                                 173.2           385.7          110.4          73.6
    Funds held under reinsurance contracts                        445.8           201.8          379.3         194.8
    Non-risk transfer reinsurance liabilities                     311.3           319.5          348.5         356.5
    Deferred income taxes                                         145.0            95.3          157.2          81.8
    Accrued expenses and other liabilities                        211.7           211.9          281.7         281.7
    Debt                                                          391.2           391.3          391.1         391.1
    Total liabilities                                          11,844.5        11,812.1       12,889.1      12,508.7

    Total shareholders' equity                                  1,648.2         1,717.5        1,720.2       1,734.8
    Total liabilities and shareholders' equity                 13,492.7        13,529.6       14,609.3      14,243.5


   Note: Details of the equity section of the balance sheet and the related
   changes in equity will be available when the Company reports in full on the
   effects of the restatement on its previously reported financial information.




                                   SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.


                                        CONVERIUM HOLDING AG




                                        By:  /s/ Terry Clarke
                                             -----------------------
                                             Name:      Terry Clarke
                                             Title:     CEO


                                        By:  /s/ Christian Felderer
                                             --------------------------------
                                             Name:      Christian Felderer
                                             Title:     General Legal Counsel



Date: December 22, 2005