Britain's Tyson Fury and American Deontay Wilder in the heavyweights have agreed to return, with a third, according to boxing promoter Bob Arum.
The replay is expected to take place on February 22 in Las Vegas, after a draw in the first battle in December in Los Angeles, which allowed Wilder to retain the WBC title.
The 31-year-old, who faces Otto Whelan tonight in Las Vegas, is the only boxer Wilder has failed to beat.
Fiori impressed the boxing crowd in 2015, when he defeated Vladimir Klitschko to win titles of the International Boxing Federation, the World Boxing Association and the World Boxing Organization, but his career later faltered due to mental problems and alcohol and drug addiction.