TRITON ENERGY LTD
S-4, EX-99.7, 2000-10-25
CRUDE PETROLEUM & NATURAL GAS
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<PAGE>   1
                                                                  EXHIBIT 99.7



                          NOTICE OF GUARANTEED DELIVERY
                                    TO TENDER
                     OUTSTANDING 8 7/8% SENIOR NOTES DUE 2007
                                       OF
                              TRITON ENERGY LIMITED
     PURSUANT TO THE EXCHANGE OFFER AND PROSPECTUS DATED OCTOBER ____, 2000

         As set forth in the Prospectus, dated October ___, 2000 (as the same
may be amended or supplemented from time to time, the "Prospectus") of Triton
Energy Limited (the "Company") under the caption "Exchange Offer -- Guaranteed
Delivery Procedures" and in the Letter of Transmittal to Tender 8 7/8% Senior
Notes due 2007 of Triton Energy Limited, this form or one substantially
equivalent hereto must be used to accept the Exchange Offer (as defined below)
if: (i) certificates for outstanding 8 7/8% Senior Notes due 2007 (the "Old
Notes") of the Company are not immediately available, (ii) time will not permit
all required documents to reach the Exchange Agent on or prior to the Expiration
Date (as defined below), or (iii) the procedures for book-entry transfer cannot
be completed on or prior to the Expiration Date. This form may be delivered by
facsimile transmission, by registered or certified mail, by hand, or by
overnight delivery service to the Exchange Agent. See "Exchange Offer --
Procedures for Tendering" in the Prospectus.

===============================================================================

THE EXCHANGE OFFER AND WITHDRAWAL RIGHTS WILL EXPIRE AT 5:00 P.M., NEW YORK CITY
TIME, ON ____________, 2000 (THE "EXPIRATION DATE"), UNLESS THE EXCHANGE OFFER
IS EXTENDED BY THE COMPANY.

===============================================================================

                  THE EXCHANGE AGENT FOR THE EXCHANGE OFFER IS:

                            The Chase Manhattan Bank

                        By Registered or Certified Mail,
                        by Overnight Courier or by Hand:

                            The Chase Manhattan Bank
                          c/o Chase Bank of Texas, N.A.
                            Corporate Trust Services
                                 P. O. Box 2320
                            Dallas, Texas 75221-2320

                                    By Hand:
                            The Chase Manhattan Bank
                        Corporate Trust Securities Window
                            Room 234, North Building
                                 55 Water Street
                            New York, New York 10041

                              By Overnight Courier:
                            The Chase Manhattan Bank
                          c/o Chase Bank of Texas, N.A.
                            Corporate Trust Services
                          2001 Bryan Street, 9th Floor
                               Dallas, Texas 75202

                                  By Facsimile:
                                (   )
                                 ---  ----------

                              Confirm by Telephone:
                                 (800) 275-2048

(Originals of all documents sent by facsimile should be sent promptly by
registered or certified mail, by hand, or by overnight delivery service.)


  DELIVERY OF THIS NOTICE OF GUARANTEED DELIVERY TO AN ADDRESS OR TRANSMISSION
      OF INSTRUCTIONS VIA FACSIMILE OTHER THAN AS SET FORTH ABOVE WILL NOT
                          CONSTITUTE A VALID DELIVERY.


<PAGE>   2



Ladies and Gentlemen:

         The undersigned hereby tenders to the Company, upon the terms and
conditions set forth in the Prospectus and in the Letter of Transmittal (which
together constitute the "Exchange Offer"), receipt of which is hereby
acknowledged, the principal amount of Old Notes set forth below pursuant to the
guaranteed delivery procedures described in the Prospectus and in the Letter of
Transmittal.

         The undersigned understands and acknowledges that the Exchange Offer
will expire at 5:00 P.M., New York City time, on ____________, 2000, unless
extended by the Company.

         All authority herein conferred or agreed to be conferred by this Notice
of Guaranteed Delivery shall survive the death or incapacity of the undersigned
and every obligation of the undersigned under this Notice of Guaranteed Delivery
shall be binding upon the heirs, personal representatives, executors,
administrators, successors, assigns, trustees in bankruptcy and other legal
representatives of the undersigned.


<TABLE>
<CAPTION>
=====================================================================================
                        DESCRIPTION OF OLD NOTES TENDERED


Certificate Number(s) (if known) of
Old Notes or Account Number at the     Aggregate Principal Amount    Principal Amount
       Book-Entry Facility             Represented by Old Notes           Tendered
<S>                                    <C>                          <C>
-----------------------------------    --------------------------   -----------------

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

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

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

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

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

                                       Total:                       Total:

=====================================================================================

                            PLEASE SIGN AND COMPLETE

Signatures(s):                                Name(s):
              ------------------------                -------------------------------

Address:                                      Capacity (full title), if signing
        ------------------------------        in a representative capacity:
                  (Zip Code)                                               ----------

Area Code and Telephone Number:
                               ------------------------------------------------------

Dated:                                        Taxpayer Identification or Social
      --------------------------------        Security Number:
                                                              -----------------------

=====================================================================================
</TABLE>





              THE GUARANTEE ON THE FOLLOWING PAGE MUST BE COMPLETED



                                       2
<PAGE>   3



                                    GUARANTEE
                    (Not to be used for signature guarantees)


         The undersigned, being a member firm of a registered national
securities exchange, a member of the National Association of Securities Dealers,
Inc., or a commercial bank or trust company having an office in the United
States, hereby guarantees (a) that the above named person(s) "own(s)" the Old
Notes tendered hereby within the meaning of Rule 14e-4 ("Rule 14e-4") under the
Securities Exchange Act of 1934, as amended, (b) that such tender of such Old
Notes complies with Rule 14e-4, and (c) to deliver to the Exchange Agent the
certificates representing the Old Notes tendered hereby or confirmation of
book-entry transfer of such Old Notes into the Exchange Agent's account at The
Depository Trust Company, in proper form for transfer, together with the Letter
of Transmittal (or facsimile thereof), properly completed and duly executed,
with any required signature guarantees and any other required documents, within
three New York Stock Exchange trading days after the Expiration Date.


================================================================================

Name of Firm:
             ------------------------------------------------------------------

Address:
        -----------------------------------------------------------------------

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

Area Code and Telephone No.:
                            ---------------------------------------------------


Authorized Signature:
                     ----------------------------------------------------------


Name:
     --------------------------------------------------------------------------

Title:
     --------------------------------------------------------------------------

Dated:
      -------------------------------------------------------------------------


================================================================================


NOTE:    DO NOT SEND CERTIFICATES OF OLD NOTES WITH THIS FORM. CERTIFICATES OF
         OLD NOTES SHOULD BE SENT ONLY WITH A LETTER OF TRANSMITTAL.








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