SECURITIES AND EXCHANGE COMMISSION
                              Washington D.C. 20549





                                    FORM 6-K



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


                      For the month ended October 31, 2003


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                                   OLICOM A/S
                 (Translation of registrant's name into English)



                                 Kongevejen 239
                                  DK-2830 Virum
                                     Denmark
                    (Address of principal executive offices)


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

                           Form 20-F [X] Form 40-F [ ]

   [Indicate by check mark whether the registrant by finishing the information
    contained in this Form is also thereby furnishing the information to the
Commission pursuant to Rule 13g3-2(b) under the Securities Exchange Act of 1934.

                                 Yes [ ] No [X]

 [If "Yes" is marked, indicate below the file number assigned to the registrant
                in connection with Rule 13g3-2(b): Not Applicable






                                   OLICOM A/S
                                    FORM 6-K

ITEM 1. FINANCIAL INFORMATION

         See Condensed Consolidated Statements of Income of Olicom A/S (the
"Company") for the nine months ended September 30, 2003, and Condensed
Consolidated Balance Sheets at December 31, 2002 and September 30, 2003,
attached to the Press Release annexed hereto as Exhibit 99.1. Such unaudited
financial statements include only such normally recurring adjustments necessary
for a fair presentation of the results of operations for the interim periods
presented and of the financial position of the Company at the date of the
interim balance sheet. The results for such interim periods are not necessarily
indicative of the results for the entire year. Such financial data should be
read in conjunction with the audited consolidated financial statements and notes
thereto included in the 2002 Group and Parent Company Financial Statements of
the Company.

ITEM 2. EXHIBITS

         Exhibit 99.1   Press Release issued by the Company on October 22, 2003.



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                                   SIGNATURES


The registrant certifies that it meets all of the requirements for filing and
has duly caused this form to be signed on its behalf by the undersigned,
thereunto duly authorized.


                                                Olicom A/S




Date: November 10, 2003                     By: /s/ Boje Rinhart
                                                Boje Rinhart
                                                Chief Executive Officer



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