Bianchi spent most of his career with Cesena, making his professional debut during the 1985–86 Serie B season and also retiring with the club in 2001, and with Inter. He spent the 1986–87 season on loan with Padova in Serie C before returning to Cesena, and he transferred to Inter for 4.5 billion Lit. in 1988. With Inter, he was notably a member of the starting line-up that won the record-breaking 1988–89 Serie A title, although, despite his talent, a serious muscle injury during the 1992–93 season greatly affected his career at the age of 27. He remained at the club until 1996, also winning the 1989 Supercoppa Italiana, and two UEFA Cups (1990–91 and 1993–94) during his time at Inter, notably scoring a decisive goal against Aston Villa in the round of 16 of the 1990–91 edition of the UEFA Cup.