Both played key roles in helping Juventus win Serie A last season.
Bonucci, who also helped Italy reach the Euro 2012 final, is accused of helping to fix the result of a match when he played for Bari in May 2010. The game against Udinese ended 3-3.
Pepe, who was playing for Udinese in the same match, faces a lesser charge of failing to report the alleged fix. Both players deny wrongdoing. The FIGC said its tribunal aims to reach a verdict before the end of next week.
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