Sarti is particularly regarded for his role as the starting keeper in the highly successful "Grande Inter" side of the 1960s under manager Helenio Herrera. He joined the club in 1963, and during his time with the team, he formed a legendary partnership with fullbacks Burgnich and Facchetti, as well as sweeper Armando Picchi, in Inter's tenacious "catenaccio" defence that helped the team to conquer Italian, European, and World football. During his five seasons with the club, he won two Serie A titles, two European Cups, and two Intercontinental Cups. After leaving Inter in 1968, he later spent the 1968–69 season with Juventus as a back-up to Roberto Anzolin. He subsequently joined Unione Valdinievole the following season, where he remained until his retirement in 1973.