Vasojević coached two Belgrade-based teams Radnički and Crvena zvezda during the 1960s, winning three Yugoslavian League championships as well as two Yugoslav Cup titles in 1960 and 1962.

After leaving Crvena zvezda, Vasojević moved to Italy to coach Recoaro Vicenza from 1967 to 1970, leading the team to two Italian League championships in 1968 and 1969.

The arrival of Vasojević as a head coach of the Yugoslavia women's national team in 1980 was almost revolutionary move.

On his debut at the 1980 European Championship in Banja Luka, Vasojević won the bronze medal, and only one month later the same success was achieved at the Summer Olympic Games in Moscow.

He offered an opportunity to the younger players he fully believed in such as Anđelija Arbutina, Danira Nakić, Razija Mujanović, Jelica Komnenović, Olivera Krivokapić, Bojana Milošević, Slađana Golić.