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                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                             ---------------------

                                 SCHEDULE TO/A
                                 (RULE 14D-100)

           TENDER OFFER STATEMENT UNDER SECTION 14(d)(1) OR 13(e)(1)
                     OF THE SECURITIES EXCHANGE ACT OF 1934

                               (AMENDMENT NO. 2)


                              PURE RESOURCES, INC.
                           (Name of Subject Company)
                               UNOCAL CORPORATION
                        UNION OIL COMPANY OF CALIFORNIA
                      (Name of Filing Persons -- Offerors)
                    COMMON STOCK, PAR VALUE $0.01 PER SHARE
                         (Title of Class of Securities)

                                  74622E 10 2
                     (CUSIP Number of Class of Securities)

                           BARRY A. L. HOFFMAN, ESQ.
                             DEPUTY GENERAL COUNSEL
                               UNOCAL CORPORATION
                       2141 ROSECRANS AVENUE, SUITE 4000
                          EL SEGUNDO, CALIFORNIA 90245
                                 (310) 726-7600
            (Name, Address and Telephone Number of Person Authorized
       to Receive Notices and Communications on Behalf of Filing Persons)

                                   COPIES TO:
                                 DANIEL A. NEFF
                                ELLIOTT V. STEIN
                         WACHTELL, LIPTON, ROSEN & KATZ
                              51 WEST 52ND STREET
                               NEW YORK, NY 10019
                                 (212) 403-1000
                             ---------------------
                           CALCULATION OF FILING FEE



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              TRANSACTION VALUATION*                               AMOUNT OF FILING FEE
-------------------------------------------------------------------------------------------------------
                                                 
                   $553,431,082                                           $50,916
-------------------------------------------------------------------------------------------------------
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* Estimated solely for the purpose of calculating the filing fee pursuant to
  Rule 0-11 under the Securities Exchange Act of 1934, as amended, based on the
  product of (i) 23.20 the average of the high and low sales prices of Pure
  Resources, Inc.'s common stock and (ii) 23,854,788, the maximum number of
  shares to be acquired pursuant to this offer.

[X] Check the box if any part of the fee is offset as provided by Rule
    0-11(a)(2) and identify the filing with which the offsetting fee was
    previously paid. Identify the previous filing by registration statement
    number, or the Form or Schedule and the date of its filing.


                                                 
            Amount Previously Paid: $50,916.        Filing Party: Unocal Corporation.
            Form or Registration No.: Form S-4.     Date Filed: September 4, 2002


[ ] Check the box if the filing relates solely to preliminary communications
    made before the commencement of a tender offer.
Check the appropriate boxes below to designate any transactions to which the
statement relates:
[X] third-party tender offer subject to Rule 14d-1.
[ ] issuer tender offer subject to Rule 13e-4.
[ ] going-private transaction subject to Rule 13e-3.
[X] amendment to Schedule 13D under Rule 13d-2.
Check the following box if the filing is a final amendment reporting the results
of the tender offer:  [ ]
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                                  SCHEDULE 13D


                                                                   
-------------------------                                                ----------------------
  CUSIP No. 74622E 10 2                                                    Page 2 of 6 Pages
-------------------------                                                ----------------------



                                            
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              NAME OF REPORTING PERSON
    1         S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
              Unocal Corporation
              95-3825062
----------------------------------------------------------------------------------------------------------
              CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                     (a)  [ ]
    2                                                                              (b)  [ ]
----------------------------------------------------------------------------------------------------------
              SEC USE ONLY
    3
----------------------------------------------------------------------------------------------------------
              SOURCE OF FUNDS
    4
              AF
----------------------------------------------------------------------------------------------------------
              CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
    5         PURSUANT TO ITEMS 2(d) or 2(e)                                            [ ]
----------------------------------------------------------------------------------------------------------
              CITIZENSHIP OR PLACE OF ORGANIZATION
    6
              Delaware
----------------------------------------------------------------------------------------------------------
                                                       SOLE VOTING POWER
               NUMBER OF
                 SHARES
              BENEFICIALLY
                OWNED BY
                  EACH
               REPORTING
                 PERSON
                  WITH

                                             7
                                                       -0-
                                         -----------------------------------------------------------------
                                                       SHARED VOTING POWER
                                             8
                                                       35,890,333(1)
                                         -----------------------------------------------------------------
                                                       SOLE DISPOSITIVE POWER
                                             9
                                                       32,709,067
                                         -----------------------------------------------------------------
                                                       SHARED DISPOSITIVE POWER
                                             10
                                                       -0-
----------------------------------------------------------------------------------------------------------
              AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
    11        PERSON
              35,890,333*
----------------------------------------------------------------------------------------------------------
              CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
    12        CERTAIN SHARES                                                                [ ]
----------------------------------------------------------------------------------------------------------
              PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 11
    13
              71.3%
----------------------------------------------------------------------------------------------------------
              TYPE OF REPORTING PERSON
    14
              CO
----------------------------------------------------------------------------------------------------------


---------------

     (1) Includes 32,709,067 shares directly owned by Union Oil Company of
California, and 3,181,266 shares beneficially owned by Jack D. Hightower, with
respect to which the reporting persons may be deemed to share voting control by
virtue of the Voting Agreement (as described on the reporting persons joint
Statement on Schedule 13D, as amended, which is incorporated herein by
reference).
                                        2


                                  SCHEDULE 13D


                                                                   
-------------------------                                                ----------------------
  CUSIP No. 74622E 10 2                                                    Page 3 of 6 Pages
-------------------------                                                ----------------------



                                            
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              NAME OF REPORTING PERSON
    1         S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
              Union Oil Company of California
              95-1315450
----------------------------------------------------------------------------------------------------------
              CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                     (a)  [ ]
    2                                                                              (b)  [ ]
----------------------------------------------------------------------------------------------------------
              SEC USE ONLY
    3
----------------------------------------------------------------------------------------------------------
              SOURCE OF FUNDS
    4
              00
----------------------------------------------------------------------------------------------------------
              CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED
    5         PURSUANT TO ITEMS 2(d) or 2(e)                                            [ ]
----------------------------------------------------------------------------------------------------------
              CITIZENSHIP OR PLACE OF ORGANIZATION
    6
              California
----------------------------------------------------------------------------------------------------------
                                                       SOLE VOTING POWER
               NUMBER OF
                 SHARES
              BENEFICIALLY
                OWNED BY
                  EACH
               REPORTING
                 PERSON
                  WITH

                                             7
                                                       -0-
                                         -----------------------------------------------------------------
                                                       SHARED VOTING POWER
                                             8
                                                       35,890,333(2)
                                         -----------------------------------------------------------------
                                                       SOLE DISPOSITIVE POWER
                                             9
                                                       32,709,067
                                         -----------------------------------------------------------------
                                                       SHARED DISPOSITIVE POWER
                                             10
                                                       -0-
----------------------------------------------------------------------------------------------------------
              AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
    11        PERSON
              35,890,333*
----------------------------------------------------------------------------------------------------------
              CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
    12        CERTAIN SHARES                                                                [ ]
----------------------------------------------------------------------------------------------------------
              PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 11
    13
              71.3%
----------------------------------------------------------------------------------------------------------
              TYPE OF REPORTING PERSON
    14
              CO
----------------------------------------------------------------------------------------------------------


---------------

     (2) Includes 32,709,067 shares directly owned by Union Oil Company of
California, and 3,181,266 shares beneficially owned by Jack D. Hightower, with
respect to which the reporting persons may be deemed to share voting control by
virtue of the Voting Agreement (as described on the reporting persons joint
Statement on Schedule 13D, as amended, which is incorporated herein by
reference).
                                        3



     This Amendment No. 2 to the Tender Offer Statement on Schedule TO and
combined Amendment No. 4 to the joint Statement on Schedule 13D (together with
the Initial Schedule TO (as defined below) and as amended hereby, the "Schedule
TO") are filed by Unocal Corporation, a Delaware corporation ("Unocal"), and its
wholly owned subsidiary Union Oil Company of California, a California
corporation ("Union Oil", together with Unocal, the "Reporting Persons"). The
Schedule TO, amends and supplements (1) the Reporting Persons' Tender Offer
Statement on Schedule TO filed on September 4, 2002 (the "Initial Schedule TO")
and (2) the Reporting Persons' Statement on Schedule 13D, as amended and relates
to the offer by Unocal to exchange 0.6527 of a share of Unocal common stock
(including the associated preferred stock purchase rights) for each outstanding
share of Pure Resources, Inc. common stock, on the terms and conditions
contained in Unocal's prospectus, dated September 4, 2002, as amended, and in
the related letter of transmittal, copies of which are incorporated by reference
to Exhibit (a)(1) hereof and Exhibit (a)(2) to the Initial Schedule TO (which,
together with any amendments or supplements thereto, collectively constitute the
"Offer").


ITEMS 1 TO 11.

     The information set forth in the Offer is incorporated herein by reference
with respect to Items 1-11 of this Schedule TO.

ITEM 12.  EXHIBITS



     
(a)(1)  Prospectus dated September 4, 2002 (incorporated by
        reference from Unocal's Registration Statement on Form S-4
        filed with the SEC on September 4, 2002, as amended by
        Amendment No. 1 to the Registration Statement on Form S-4
        filed with the SEC on September 5, 2002, and as amended by
        Amendment No. 2 to the Registration Statement on Form S-4
        filed with the SEC on September 20, 2002 (as amended, the
        "Form S-4")).



ITEM 13.  INFORMATION REQUIRED BY SCHEDULE 13E-3

     Not applicable

                                        4


                                   SIGNATURE

     After due inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.

                                          UNION OIL COMPANY OF CALIFORNIA


                                          By /s/ DOUGLAS M. MILLER

                                            ------------------------------------

                                            Name: Douglas M. Miller


                                            Title: Vice President, Corporate
                                             Development


                                          UNOCAL CORPORATION


                                          By /s/ DOUGLAS M. MILLER

                                            ------------------------------------

                                            Name: Douglas M. Miller


                                            Title: Vice President, Corporate
                                             Development



Dated: September 20, 2002


                                        5


                                 EXHIBIT INDEX



     
(a)(1)  Prospectus dated September 4, 2002 (incorporated by
        reference from Unocal Corporation's Registration Statement
        on Form S-4 filed with the SEC on September 4, 2002, as
        amended by Amendment No. 1 to the Registration Statement on
        Form S-4 filed with the SEC on September 5, 2002, and as
        amended by Amendment No. 2 to the Registration Statement on
        Form S-4 filed with the SEC on September 20, 2002 (the "Form
        S-4")).