Rašović played five years in Partizan, from 1964 until 1969. In the first season, 1964–65, he gained a place in the starting eleven and won the title of champion of Yugoslavia. In that season, he played seventeen league games for Partizan. In total, he played 210 games and scored two goals for Partizan. At the international level he played for Partizan in 39 games and scored one goal. Crown of his career was the 1966 European Cup Final in Brussels, when Partizan played in the final against Spanish champions Real Madrid CF. They played at the famous Heysel Stadium in front of 55,000 spectators. Partizan was equal rival in everything and in the 55 minute Velibor Vasović scored the leading goal. Unfortunately for Partizan players, that was all they could do. With two goals of Amancio Amaro and Fernando Serena, Real managed to defeat Partizan and Real took the title of European champion.