During his time with the Roma, Conti famously wore the number 7 shirt, and he became an important figure with the club on the right wing, as he won the "Scudetto" during the 1982–83 season and the Coppa Italia five times between 1979 and 1991. He played a key role in helping Roma to reach the 1984 European Cup Final, where they were defeated on penalties by Liverpool, with Conti missing his penalty in the shootout. He also helped Roma to reach the 1991 UEFA Cup Final, during his final season with the club, also winning his final Coppa Italia that season.