A central defender, Cuccureddu spent his club playing career with Brescia (1968–69), Juventus (1969–81, winning six Serie A titles), and Fiorentina (1981–83).

His most famous goal in the league was scored at the Stadio Olimpico in Rome, facing A.S. Roma in the last match of the 1972–73 Serie A season: with that goal Juventus beat Roma 2–1 and won their 15th domestic title by 1 point over A.C. Milan, who were leading the league until the final match of the season, and finished 2 points over S.S.

[2] Cuccureddu was a hard-working and tactically versatile footballer, who was capable of aiding his team both offensively and defensively, and of playing anywhere in defence or midfield.

Throughout his career, he was primarily deployed as a defender, and was capable of playing as an offensive wing-back, as a full-back, or as a centre-back, which was his usual position.

In 2013, he returned to Grosseto in Lega Pro Prima Divisione, where he remained until January 2014, after being sacked, due to the club's negative results.