Best known for being member of the FK Partizan team that played the 1966 European Cup Final in Brussels versus Real Madrid, Bečejac is also known for the record transfer in the summer 1967 when Olimpija bought him from Partizan for YUD65 million. The astronomical transfer for SFR Yugoslavia at the time brought about changes in the FA ruling as a transfer cap of YUD12.5 million was instituted from then on.