Born in Milan, Gori debuted with Internazionale at a very young age, making 10 caps between 1964 and 1966, during the time of the "Grande Inter" team of the 60s. He was sent to gain experience with Lanerossi Vicenza for two seasons, in exchange for the reigning Serie A top scorer Luis Vinicio in 1966. In 1968, he returned to Inter for a season, after notable performances with Vicenza, but he was subsequently sold to Cagliari Calcio, along with Angelo Domenghini, in exchange for Roberto Boninsegna. With Inter he won the 1964–65 and the 1965–66 Serie A titles, as well as the 1964–65 European Cup, and the 1965 Intercontinental Cup.