Throughout his career, Da Pozzo played for Inter (1958–59; 1960–61), Catanzaro (1959–60), Genoa (1961–65), Varese (1965–69), Mantova (1969–73), and Napoli (1973–74). He made his debut in Serie A with Inter, on 2 June 1959, in a 1–1 away draw against Alessandria. During his time with Genoa, he won a Serie B title, and the Coppa delle Alpi twice; he also established what was, at the time, the record for the most minutes without conceding in Serie A, during the 1963–64 season, going unbeaten for 791 minutes. He held the record until it was broken by Juventus's Dino Zoff, during the 1972–73 season. Currently, his unbeaten streak is the fourth best in Serie A history. With Mantova, he won another Serie B title during the 1970–71 season, also setting a record for the most minutes without conceding a goal in the Italian second division during the same season, with a 878-minute unbeaten streak.