Born in San Zeno Naviglio, Brescia, Italy, Bonetti made his professional debut during the 1978–79 season with Brescia. He then moved to Roma in 1980, and played for the "giallorossi" until 1986, except for a one-season spell at Sampdoria during the 1982–83 season; during his time with Roma, he won three Coppa Italia titles. In 1986, he signed for Milan, but failed to impress and moved to Verona only one year later. In 1989, he transferred to Juventus, where he played two seasons, making 63 appearances and scoring 5 goals, winning a Coppa Italia and UEFA Cup double under manager Dino Zoff in 1990. A return to Sampdoria in 1991 was followed by a single season at SPAL in 1992, and retirement in 1993.