Biavati played in Serie A with Bologna, making his debut on 21 May 1933 in a 7–0 win over Casale. He also played with Catania in Serie B. With Bologna he enjoyed a successful period, winning in particular three Serie A titles during the 1936–1937, 1938–1939, and 1940–1941 seasons, as well as the Torneo Internazionale dell'Expo Universale di Parigi in 1937, and the Coppa Alta Italia in 1946.