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                                                                    EXHIBIT 23.6
 
                        CONSENT OF INDEPENDENT AUDITORS
 
     We consent to the inclusion of our report dated December 4, 1997, with
respect to the balance sheets of NACT Telecommunications, Inc. as of September
30, 1997 and 1996, and the related statements of income, stockholders' equity
and cash flows for each of the years in the three-year period ended September
30, 1997, and related schedule which report appears in the Joint Proxy
Statement/Prospectus constituting part of this Registration Statement on Form
S-4 of World Access, Inc. dated November 9, 1998, and to the reference to our
firm under the heading "Experts" in the Joint Proxy Statement/Prospectus.
 
                                               /s/ KPMG PEAT MARWICK LLP
 
Salt Lake City, Utah
November 9, 1998