CUMBERLAND ASSOCIATES LLC
SC 13G, 1998-04-07
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                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C. 20549

                                 SCHEDULE 13G

                   Under the Securities Exchange Act of 1934
                               (Amendment No. )*

                             COSTILLA ENERGY, INC.
                               (Name of Issuer)

                    Common Stock, $.10 Par Value Per Share
                        (Title of Class of Securities)

                                   22161G103
                                (CUSIP Number)

                         Voluntary** (see note below)
                     (Date of Event which Requires Filing
                              of this Statement)

Check the appropriate box to designate the rule pursuant to which this
Schedule is filed:

                  [  ]      Rule 13d-1(b)
                  [X ]      Rule 13d-1(c)
                  [  ]      Rule 13d-1(d)

  *The remainder of this cover page shall be filled out for a reporting
  person's initial filing on this form with respect to the subject class of
  securities, and for any subsequent amendment containing information which
  would alter the disclosures provided in a prior cover page.

  The information required on the remainder of this cover page shall not be
  deemed to be "filed" for the purpose of Section 18 of the Securities
  Exchange Act of 1934 ("Act") or otherwise subject to the liabilities of that
  section of the Act but shall be subject to all other provisions of the Act
  (however, see the Notes).

  **This Schedule 13G is being filed to replace, pursuant to Securities
  Exchange Act Release No. 34-39538, Cumberland Associates LLC's Schedule 13D,
  filed on May 16, 1997, as amended by Amendment No. 1 thereto, filed on
  October 14, 1997.

                               Page 1 of 6 pages

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CUSIP No.  22161G103                 13G            Page  2 of 6 Pages

1   NAME OF REPORTING PERSON I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    Cumberland Associates LLC

2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                          (a) / /
                                                          (b) /X/
3   SEC USE ONLY

4   CITIZENSHIP OR PLACE OF ORGANIZATION

    New York

                         5  SOLE VOTING POWER

                            572,500

     NUMBER OF           6  SHARED VOTING POWER
      SHARES
   BENEFICIALLY             117,500
     OWNED BY
       EACH              7  SOLE DISPOSITIVE POWER
     REPORTING
      PERSON                572,500
       WITH

                         8  SHARED DISPOSITIVE POWER

                            117,500

9   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

    690,000

10  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

11  PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)

    6.9%

12  TYPE OF REPORTING PERSON*

    OO, IA

                     *SEE INSTRUCTION BEFORE FILLING OUT!

                              Page 2 of 6 pages


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Item 1(a)         Name of Issuer:

                  Costilla Energy, Inc. (the "Issuer")

Item 1(b)         Address of Issuer's Principal Executive Offices:

                  400 West Illinois
                  Suite 1000
                  Midland, Texas 79701

Items 2(a)        Name of Person Filing:

                  This statement is being filed by Cumberland Associates LLC
                  to replace, pursuant to Securities Exchange Act Release No.
                  34-39538, Cumberland Associates LLC's Schedule 13D, filed on
                  May 16, 1997, as amended by Amendment No. 1 thereto, filed
                  on October 14, 1997. Cumberland Associates LLC is a limited
                  liability company organized under the laws of the State of
                  New York, and is engaged in the business of managing, on a
                  discretionary basis, thirteen securities accounts (the
                  "Accounts"), the principal one of which is Cumberland
                  Partners. K. Tucker Andersen, Gary Tynes, Oscar S. Schafer,
                  Bruce G. Wilcox, Glenn Krevlin, Andrew Wallach and Eleanor
                  Poppe are the members (the "Members") of Cumberland
                  Associates LLC.

Item 2(b)         Address of Principal Business Office:

                  The address of the principal business and office of
                  Cumberland Associates LLC and each of the Members is 1114
                  Avenue of the Americas, New York, New York 10036.

Item 2(c)         Citizenship:

                  Cumberland Associates LLC is a New York limited liability
                  company. Each of the Members is a citizen of the United
                  States.

Item 2(d)         Title of Class of Securities:

                  Common Stock, par value $.10 per share (the "Shares")

Item 2(e)         CUSIP Number:

                  22161G103

Item 3            Not Applicable

                              Page 3 of 6 pages

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Item 4.           Ownership:

Item 4(a)         Amount Beneficially Owned:

                  As of the date hereof, Cumberland Associates LLC may be
                  deemed the beneficial owner of 690,000 Shares.

Item 4(b)         Percent of Class:

                  The number of Shares of which Cumberland Associates LLC may
                  be deemed to be the beneficial owner constitutes
                  approximately 6.9% of the total number of Shares
                  outstanding.

Item 4(c)         Number of shares as to which such person has:

                  (i)   Sole power to vote or to direct the vote: 572,500

                  (ii)  Shared power to vote or to direct the vote: 117,500

                  (iii) Sole power to dispose or to direct the disposition of:
                        572,500

                  (iv)  Shared power to dispose or to direct the disposition
                        of:  117,500

Item 5            Ownership of Five Percent or Less of a Class:

                  Not Applicable

Item 6            Ownership of More than Five Percent on Behalf of Another
                  Person:

                  The beneficial owners of the Accounts have the right to
                  participate in the receipt of dividends from, or proceeds
                  from the sale of, the Shares held for each Account in
                  accordance with their ownership interests in each such
                  Account.

Item 7            Identification and Classification of the
                  Subsidiary Which Acquired the Security Being
                  Reported on By the Parent Holding Company:
                  
                  Not Applicable

Item 8            Identification and Classification of Members of the Group:
                  
                  Not Applicable

                              Page 4 of 6 pages

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Item 9            Notice of Dissolution of Group:


                  Not Applicable

Item 10           Certification:

         By signing below the signatory certifies that, to the best of his
knowledge and belief, the securities referred to above were not acquired and
are not held for the purpose of or with the effect of changing or influencing
the control of the Issuer of the securities and were not acquired and are not
held in connection with or as a participant in any transaction having that
purpose or effect.


                              Page 5 of 6 pages

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                                   SIGNATURE

         After reasonable 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.

Dated:  April 6, 1998

                                            CUMBERLAND ASSOCIATES LLC

                                            By:  /s/ Bruce G. Wilcox
                                            Name:  Bruce G. Wilcox
                                            Title:  Member


                              Page 6 of 6 pages



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