Giuliani developed in the Arezzo youth sector and later made his professional debut with the senior squad. He made his Serie A debut during the 1980–81 season with Como. In 1985, he moved to Verona and in 1988 he moved to Maradona's Napoli, where he achieved notable success and recognition due to his performances; with the club, he won an UEFA Cup (1988–89) and a Serie A title (1989–90). He later moved to Udinese in 1990, where he ended his career, retiring from professional football in 1993.