The 1978 Milan Indoor, also known by its sponsored name Ramazzotti Cup, was a men's tennis tournament played on indoor carpet courts at the Palazzo dello Sport in Milan in Italy. The event was part WCT Tour which was incorporated into the 1978 Colgate-Palmolive Grand Prix circuit. It was the inaugural edition of the tournament and was held from 27 March through 2 April 1978. Second-seeded Björn Borg won the singles title.[3][4] Total attendance for the tournament was 76,841.[5]