Boyce signed a contract with the Browns on Sunday, Mary Kay Cabot of cleveland.com reports.
Boyce was released by the Colts on Tuesday, which was a bit of a surprise as he was thought to be in competition for the fourth receiver slot. The former fourth-rounder hasn't played since his rookie year in 2013, but he could manage to catch on with the Browns. Cleveland currently has four of its top receivers sidelined, opening the door for Boyce to see some reps and make a push for a depth spot right away.