UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 6-K

REPORT OF FOREIGN PRIVATE ISSUER PURSUANT TO RULE 13a-16 OR 15d-16 UNDER THE SECURITIES EXCHANGE ACT OF 1934

For the month of October 2026

Commission File Number: 001-36298

GeoPark Limited

(Exact name of registrant as specified in its charter)

Calle 94 N° 11-30 Piso 8°

Bogota, Colombia

(Address of principal executive office)

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

GEOPARK LIMITED

TABLE OF CONTENTS

_____________________

Item 1

FOR IMMEDIATE DISTRIBUTION

GEOPARK ANNOUNCES PROPOSED 

OFFERING OF SENIOR NOTES

Bogotá, Colombia, October 16, 2026 – GeoPark Limited (“GeoPark” or the “Company”) (NYSE: GPRK), an exempted company incorporated under the laws of Bermuda, today announced that it intends to offer senior notes (the “Notes”), guaranteed by certain subsidiaries of the Company, in a private placement to qualified institutional buyers in accordance with Rule 144A under the Securities Act of 1933, as amended (the “Securities Act”), and outside the United States to non-U.S. persons in accordance with Regulation S under the Securities Act. The timing of pricing and terms of the Notes are subject to market conditions and other factors.

Concurrent with the announcement of this proposed offering of Notes, the Company has announced that it is making a cash tender offer to purchase any and all of the Company’s outstanding 8.750% notes due 2030 (the "Notes due 2030"). The Company intends to use the net proceeds from the offering of the Notes to repurchase the Notes due 2030 tendered pursuant to the Concurrent Tender Offer, to repay or redeem, in whole or in part, certain of its existing indebtedness, including the Company’s 5.500% senior notes due 2027 (the “Notes due 2027”), to fund capital expenditures related to the development of the Company’s Vaca Muerta assets over the next 18 months, and for general corporate purposes.

This press release does not constitute an offer to sell or a solicitation of an offer to buy these securities, nor will there be any sale of these securities, in any state or jurisdiction in which such offer, solicitation or sale would be unlawful prior to registration or qualification under the securities laws of any state or jurisdiction. The Notes have not been registered under the Securities Act, or any applicable state securities laws, and will be offered only to qualified institutional buyers pursuant to Rule 144A promulgated under the Securities Act and outside the United States to non-U.S. persons in accordance with Regulation S under the Securities Act. Unless so registered, the Notes may not be offered or sold in the United States except pursuant to an exemption from the registration requirements of the Securities Act and any applicable state securities laws.

For further information, please contact:

INVESTORS:

MEDIA:

*****

CAUTIONARY STATEMENT ON FORWARD-LOOKING STATEMENTS

This press release contains forward-looking statements within the meaning of the Private Securities Litigation Reform Act of 1995. Forward-looking statements often are preceded by words such as “believes,” “expects,” “may,” “anticipates,” “plans,” “intends,” “assumes,” “will” or similar expressions. The forward-looking statements contained herein include statements about the tender offer for the 2030 Notes, the Company’s notes offering and its intended use of proceeds therefrom. These expectations may or may not be realized. Some of these expectations may be based upon assumptions or judgments that prove to be incorrect. In addition, GeoPark’s business and operations involve numerous risks and uncertainties, many of which are beyond the control of GeoPark, which could result in GeoPark’s expectations not being realized or otherwise materially affect the financial condition, results of operations and cash flows of GeoPark. Some of the factors that could cause future results to materially differ from recent results or those projected in forward-looking statements are described in GeoPark’s filings with the United States Securities and Exchange Commission.

The forward-looking statements are made only as of the date hereof, and GeoPark does not undertake any obligation to (and expressly disclaims any obligation to) update any forward-looking statements to reflect events or circumstances after the date such statements were made, or to reflect the occurrence of unanticipated events. In light of the risks and uncertainties described above, and the potential for variation of actual results from the assumptions on which certain of such forward-looking statements are based, investors should keep in mind that the results, events or developments disclosed in any forward-looking statement made in this document may not occur, and that actual results may vary materially from those described herein, including those described as anticipated, expected, targeted, projected or otherwise.

Item 2

FOR IMMEDIATE DISTRIBUTION

GEOPARK ANNOUNCES COMMENCEMENT OF CASH TENDER OFFER FOR 

ANY AND ALL OF ITS OUTSTANDING 8.750% SENIOR NOTES DUE 2030 

(CUSIP Nos. 37255B AC3; G38327 AD7 / ISIN Nos. US37255BAC37; USG38327AD78)

Bogotá, Colombia, October 16, 2026 – GeoPark Limited (“GeoPark” or the “Company”) (NYSE: GPRK), an exempted company incorporated under the laws of Bermuda, today announced the commencement of an offer to purchase for cash any and all of its outstanding 8.750% Senior Notes due 2030 (the “Notes”) (the “Tender Offer”). The Tender Offer is being made upon the terms and subject to the conditions (including the Financing Condition (as defined in the Offer to Purchase)) set forth in the offer to purchase dated October 16, 2026 (as it may be amended or supplemented from time to time, the “Offer to Purchase”).

The table below summarizes certain payment terms for the Notes:

The Tender Offer will expire at 5:00 p.m., New York City time, on October 22, 2026, or any other date and time to which GeoPark extends the Tender Offer (such date and time, as it may be extended, the “Expiration Time”). Holders of Notes must validly tender their Notes at or prior to the Expiration Time and not validly withdraw them at or prior to the applicable Withdrawal Deadline (as defined in the Offer to Purchase) in order to be eligible to receive the Consideration (as defined in the Offer to Purchase) plus accrued and unpaid interest for such Notes. Tendered Notes may be validly withdrawn at any time at or prior to the Withdrawal Deadline but not thereafter.

Notes may be tendered and accepted for payment in principal amounts equal to minimum denominations of U.S.$200,000 and integral multiples of U.S.$1,000 in excess thereof. Holders who tender less than all of their Notes must continue to hold Notes in at least the minimum authorized denomination of U.S.$200,000 principal amount. No alternative, conditional or contingent tenders will be accepted.

The obligation of GeoPark to purchase Notes in the Tender Offer is conditioned on the satisfaction or waiver of certain conditions, including, without limitation, the Financing Condition, described in the Offer to Purchase. GeoPark reserves the right, in its sole discretion, to amend or terminate the Tender Offer at any time.

The Tender Offer is being made in connection with a proposed offering of U.S. dollar denominated senior notes (the “New Notes”) to be issued by GeoPark (the “New Notes Offering”). The New Notes Offering will be exempt from the registration

requirements of the U.S. Securities Act of 1933, as amended. In addition, the Company issued a notice of redemption for its 5.500% Senior Secured Notes due 2027, conditioned upon the completion of the New Notes Offering. The Tender Offer is not an offer to sell or a solicitation of an offer to buy the New Notes.

The information and tender agent for the Tender Offer is D.F. King & Co., Inc. Requests for documentation and questions regarding the Tender Offer can be directed to D.F. King & Co., Inc. at its telephone numbers (646) 582-2900 (Banks and Brokers Call) and (800) 967-5084 (Toll-Free), or by email at geopark@dfking.com.

Copies of the Offer to Purchase are available from the tender offer website (the “Tender Offer Website”): www.dfking.com/geopark, subject to eligibility confirmation and registration.

Any questions or requests for assistance or for additional copies of this notice may be directed to the dealer managers at their respective telephone numbers set forth below or, if by any Holder, to such Holder’s broker, dealer, commercial bank, trust company or other nominee for assistance concerning the Tender Offer.

The dealer managers for the Tender Offer are:

This notice does not constitute or form part of any offer or invitation to purchase, or any solicitation of any offer to sell, the Notes or any other securities in the United States or any other country, nor shall it or any part of it, or the fact of its release, form the basis of, or be relied on or in connection with, any contract therefor. The Tender Offer is made only by and pursuant to the terms of the Offer to Purchase, and the information in this notice is qualified by reference to the Offer to Purchase. None of GeoPark, the dealer managers or the information and tender agent makes any recommendation as to whether Holders should tender their Notes pursuant to the Tender Offer.

For further information, please contact:

INVESTORS:

MEDIA:

*****

CAUTIONARY STATEMENT ON FORWARD-LOOKING STATEMENTS

This press release contains forward-looking statements within the meaning of the Private Securities Litigation Reform Act of 1995. Forward-looking statements often are preceded by words such as “believes,” “expects,” “may,” “anticipates,” “plans,” “intends,” “assumes,” “will” or similar expressions. The forward-looking statements contained herein include statements about the Tender Offer for the Notes, the New Notes Offering and its intended use of proceeds therefrom. These expectations may or may not be realized. Some of these expectations may be based upon assumptions or judgments that prove to be incorrect. In addition, GeoPark’s business and operations involve numerous risks and uncertainties, many of which are beyond the control of GeoPark, which could result in GeoPark’s expectations not being realized or otherwise materially affect the financial condition, results of operations and cash flows of GeoPark. Some of the factors that could cause future results to materially differ from recent results or those projected in forward-looking statements are described in GeoPark’s filings with the United States Securities and Exchange Commission.

The forward-looking statements are made only as of the date hereof, and GeoPark does not undertake any obligation to (and expressly disclaims any obligation to) update any forward-looking statements to reflect events or circumstances after the date such statements were made, or to reflect the occurrence of unanticipated events. In light of the risks and uncertainties described above, and the potential for variation of actual results from the assumptions on which certain of such forward-looking statements are based, investors should keep in mind that the results, events or developments disclosed in any forward-looking statement made in this document may not occur, and that actual results may vary materially from those described herein, including those described as anticipated, expected, targeted, projected or otherwise.

SIGNATURE

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.

Date: October 16, 2026