UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, D.C. 20549 SCHEDULE 13G (RULE 13d - 102) Information to be included in statements filed pursuant to Rules 13d-1(b), (c) and (d) and amendments thereto filed pursuant to 13d-2(b) (AMENDMENT NO.___ )* Harken Energy Corporation (Name of Issuer) Common Stock, $0.01 par value (Title of Class of Securities) 412552309 (CUSIP Number) October 12, 2004 (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 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). (Continued on the Following Pages) (Page 1 of 6) CUSIP No. 412552309 13G Page 2 of 6 Pages 1. NAMES OF REPORTING PERSONS I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY) The Tail Wind Fund Ltd. 2. CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] 3. SEC USE ONLY 4. CITIZENSHIP OR PLACE OF ORGANIZATION A British Virgin Islands corporation NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON WITH: 5. SOLE VOTING POWER 22,608,821 6. SHARED VOTING POWER 0 7. SOLE DISPOSITIVE POWER 22,608,821 8. SHARED DISPOSITIVE POWER 0 9. AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 22,608,821 10. CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES* [ ] 11. PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9) 9.9% 12. TYPE OF REPORTING PERSON* CO *SEE INSTRUCTIONS BEFORE FILLING OUT! CUSIP No. 412552309 13G Page 3 of 6 Pages ITEM 1(a). NAME OF ISSUER: Harken Energy Corporation (the "Issuer") ITEM 1(b). ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES: 180 State Street, Suite 200 Southlake, Texas 76092 ITEM 2(a). NAME OF PERSON FILING: The name of the person filing this statement on Schedule 13G is The Tail Wind Fund Ltd. ("Tail Wind"). Tail Wind Advisory and Management Ltd. is the investment manager for Tail Wind and expressly disclaims equitable ownership of and pecuniary interest in any shares of Common Stock arising from its status as the investment manager. ITEM 2(b). ADDRESS OF PRINCIPAL BUSINESS OFFICE OR, IF NONE, RESIDENCE: The Bank of Nova Scotia Trust Company (Bahamas) Ltd. Windermere House 404 East Bay Street P.O. Box SS-5539 Nassau, Bahamas Attn: Ngaire Strachan ITEM 2(c). CITIZENSHIP: The Tail Wind Fund Ltd. is a corporation duly formed under the laws of the British Virgin Islands. ITEM 2(d). TITLE OF CLASS OF SECURITIES: Common Stock ITEM 2(e). CUSIP NUMBER: 412552309 ITEM 3. IF THIS STATEMENT IS FILED PURSUANT TO RULE 13d-1(b), OR 13d-2(b) OR (c), CHECK WHETHER THE PERSON FILING IS A: (a) [ ] Broker or dealer registered under Section 15 of the Exchange Act. (b) [ ] Bank as defined in Section 3(a)(6) of the Exchange Act. (c) [ ] Insurance company defined in Section 3(a)(19) of the Exchange Act. (d) [ ] Investment company registered under Section 8 of the Investment Company Act. (e) [ ] An investment adviser in accordance with Rule 13d-1(b)(1)(ii)(E). (f) [ ] An employee benefit plan or endowment fund in accordance with Rule 13d-1(b)(1)(ii)(F). (g) [ ] A parent holding company or control person in accordance with Rule 13d-1(b)(1)(ii)(G). (h) [ ] A savings association as defined in Section 3(b) of the Federal Deposit Insurance Act. (i) [ ] A church plan that is excluded from the definition of an investment company under Section 3(c)(14) of the Investment Company Act; (j) [ ] Group, in accordance with Rule 13d-1(b)(1)(ii)(J). If this statement is filed pursuant to Rule 13d-1(c), check this box [x] CUSIP No. 412552309 13G Page 4 of 6 Pages ITEM 4. OWNERSHIP. Provide the following information regarding the aggregate number and percentage of the class of securities of the issuer identified in Item 1. (a) Amount beneficially owned: 22,608,821 shares of Common Stock Subject to the Ownership Limitation (defined below), Tail Wind owns a total of 23,006,330 shares of Common Stock, including (i) 1,788,889 shares of Common Stock held by Tail Wind, (ii) 6,133,333 shares of Common Stock into which 36,800 shares of Series L Convertible Preferred Stock are convertible, assuming a conversion price of $.60 and no accrued dividends, which were issued to Tail Wind on May 28, 2004 ("Series L Preferred"), (iii) 7,666,667 shares of Common Stock into which 46,000 shares of Series M Convertible Preferred Stock are convertible, assuming a conversion price of $.60 and no accrued dividends, which were issued to Tail Wind on or about October 12, 2004 ("Series M Preferred"), (iv) 3,382,353 shares of Common Stock into which warrants are exercisable which were issued to Tail Wind on May 28, 2004 ("Series L Warrants") and (v) 4,035,088 shares of Common Stock into which warrants are exercisable which were issued to Tail Wind on or about October 12, 2004 ("Series M Warrants"). In accordance with Rule 13d-4 under the Securities Exchange Act of 1934, as amended, because the number of shares of Common Stock into which the Reporting Person's Series L Preferred, Series M Preferred, Series L Warrants and Series M Warrants are convertible and exercisable are limited, pursuant to the terms of such instruments, to that number of shares of Common Stock which would result in the Reporting Person having beneficial ownership of 9.9% of the total issued and outstanding shares of Common Stock (the "Ownership Limitation"), the Reporting Person disclaims beneficial ownership of any and all shares of Common Stock that would cause the Reporting Person's beneficial ownership to exceed the Ownership Limitation. Therefore, in accordance with the Ownership Limitation, Tail Wind, based upon 207,551,995 shares of common stock outstanding, beneficially owns 22,608,821 shares of Common Stock and disclaims beneficial ownership of 397,509 shares of Common Stock. (b) Percent of class: Tail Wind's aggregate beneficial ownership of 22,608,821 shares of Common Stock constitutes 9.9% of all of the outstanding shares of Common Stock, based upon 205,763,106 shares of Common Stock outstanding as of August 2, 2004 plus the 1,788,889 shares of Common Stock issued to Tail Wind on or about October 8, 2004. (c) Number of shares as to which such person has: (i) Sole power to vote or to direct the vote 22,608,821 (ii) Shared power to vote or to direct the vote Not applicable. (iii) Sole power to dispose or to direct the disposition of 22,608,821 (iv) Shared power to dispose or to direct the disposition of Not applicable. CUSIP No. 412552309 13G Page 5 of 6 Pages ITEM 5. OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS. If this statement is being filed to report the fact that as of the date hereof the Reporting Persons have ceased to be the beneficial owner of more than five percent of the class of securities, check the following [ ]. ITEM 6. OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON. Not applicable. 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. ITEM 9. NOTICE OF DISSOLUTION OF GROUP. Not applicable. ITEM 10. CERTIFICATION. By signing below the undersigned certifies that, to the best of its 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. CUSIP No. 412552309 13G Page 6 of 6 Pages SIGNATURE After reasonable inquiry and to the best of its knowledge and belief, the undersigned certifies that the information set forth in this statement is true, complete, and correct. Dated: October 20, 2004 THE TAIL WIND FUND LTD. By: /s/ Andrew P. MacKellar --------------------------------- Andrew P. MacKellar, Director