They were both Yugoslav internationals, and both spent a large part of their professional careers in France.

After starting his professional career at Hajduk Split, alongside his brother Zlatko, he (whom amassed nearly 400 overall appearances, scoring a career-best ten league goals in 32 games in the 1980–81 season as his team ranked in second position) moved aged 28 to France, where he would remain the next seven years safe for a short spell at Red Star Belgrade.

His first stop – having been bought at the same time as his sibling – was FC Girondins de Bordeaux, as both were instrumental figures in the club's double in their first season.

Vujović retired in 1993 with OGC Nice, having his first coaching experience in 2007 in Morocco with KAC Kénitra.

Internationally he received 34 caps for Yugoslavia,[2] and was a non-playing squad member at the 1982 FIFA World Cup; his debut came in a friendly with Italy, on 13 June 1979.