<TABLE>
                                                                                                       Exhibit 11.2

                                             TRESCOM INTERNATIONAL, INC.

                                   COMPUTATION OF SUPPLEMENTAL EARNINGS PER SHARE

<CAPTION>

                                                                                                YEAR ENDED DECEMBER 31,
                                                                                               1996                 1995
                                                                                        --------------------------------------------
<S>                                                                                        <C>                 <C>

Primary and fully diluted:
   Weighted average Common Stock outstanding during the period(1) .................        10,590,634           2,386,663
   Conversion of Preferred Stock into Common Stock, including
       accrued dividends through the date of the initial public offering ..........           498,131           4,496,147

   Shares issued to repay current and long-term obligations .......................          380,831           2,443,449
   Effect of common stock  equivalents  issued  subsequent to November 22, 1994,
       computed in accordance with the treasury stock method
       as required by the Securities and Exchange Commission(1) ...................            80,032             813,551
                                                                                        ============================================
Total .............................................................................        11,549,628          10,139,810
                                                                                        ============================================

Loss before extraordinary item ....................................................     $  (3,621,000)    $   (11,627,000)
Extraordinary loss on early extinguishment of debt                                          1,956,000                  --
                                                                                        --------------------------------------------
Net loss ..........................................................................        (5,577,000)        (11,627,000)
Plus:  Reduction in interest expense and extraordinary loss on retirement of
       debt from repayment of current and long-term obligations(2).................         3,006,000           3,000,000
Less:  Preferred Stock dividends...................................................          (687,000)         (4,877,000)
                                                                                        --------------------------------------------

Net loss available for Common Stock and common stock equivalents...................      $ (3,258,000)    $   (13,504,000)
                                                                                         ===========================================

Per share amount ..................................................................      $ (0.22)          $         (0.85)
                                                                                         ===========================================
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(1)      Pursuant  to  Securities  and  Exchange   Commission  Staff  Accounting
         Bulletin No. 83,  common stock  equivalents  issued at prices below the
         assumed  initial public offering price per share ("cheap stock") during
         the twelve month period  immediately  preceding the initial filing date
         of the Company's  Registration  Statement for its public  offering have
         been included as  outstanding  for all periods  presented  prior to and
         through the date of the initial public offering.

(2)      Supplemental earnings per share reflects the number of shares of Common
         Stock upon  consummation  of the initial public  offering used to repay
         $35.8 million in current and long-term  obligations as if such issuance
         had occurred at the beginning of each year.