After his NCAA adventure, Radović came back home, signing with Red Star Belgrade where he spent 9 seasons and grew into a dependable point guard as well as a defensive stalwart on the Yugoslav national team. In addition to suffocating and aggressive defensive style, going after offensive rebounds became the staple of his game — a practice he picked up while playing college ball and introduced to the Yugoslav League where guards at the time rarely engaged in such forays on offense. During his career at Red Star Radović played at four Yugoslavian playoff finals in 1984, 1985, 1987 and 1990, one Yugoslavian cup final in 1990 and one European Korac cup final in 1984. In 1990, he moved to Berlin, spending two seasons at the developing German club Alba Berlin where he played two finals of German league playoff vs Bayer Leverkusen. His 49 points at the single game still stands as a record of the most points scored in one game in the history of Alba Berlin. In 1992, he came home to Belgrade again and played for the team where he started his career, OKK Belgrade and with the team he won Yugoslavian Cup in a memorable game vs Partizan in 1993. Next season 1993-1994 he played in Pavia, Italy and finished out his career in 1994-1995 season with a club where he started it - OKK Belgrade.
He started playing for junior National team of Yugoslavia at Balkan championship in 1977 where the team won gold medal and repeated the success in 1978 by winning gold again at the same event. As junior he won the best junior tournament in the world Albert Schweitzer in 1979 and played first FIBA junior World Championship in 1979 where Yugoslavia finished fourth. His senior career with National team of Yugoslavia started already in 1981 at the World University Games and continued throughout the years until 1992. He played at two World Championships, three European Championships, three World University Games and two Balkan championships, missing Olympic Games in 1988 due to the injury and in 1992 due to the sanctions against Yugoslavia imposed by United Nations. He played 168 official games for Yugoslavia which keeps him at top 30 players in the history of Yugoslavian basketball by number of appearances. During his national team career he was coached by Bogdan Tanjevic, Ranko Zeravica, Kresimir Cosic and Dusan Ivkovic, all of them being instrumental during periods for the success of Yugoslavian basketball.