Vicini has played for the San Marinese Davis Cup team since 1993 . During this time, he played 73 singles and 61 doubles games in a total of 92 matches. He is the player with the most contested encounters in the Davis Cup .
His biggest success outside of the Davis Cup team was in 2008 at the Challenger tournament in Genoa . There he reached the double-finals on the side of Stefano Galvani .