He started his career with KK Sloboda Dita in 1990. Not too long after the start of the war in Bosnia, he fled to Zagreb where he joined Cibona Zagreb. Mulaomerović played there until the end of season 1997-1998. He left Cibona to join Fortitudo Bologna. He also played for Real Madrid.
In Greece he left a big mark. He won the Euroleague Championship with Panathinaikos in 2001–02. While he played for PAOK and Panellinios BC he was one of leading assist and point scoring players. At the start of the 2006-2007 season he had been signed by Olympiacos, in order to fill the void created in the team by Macijaukas' start of the season severe injury. But in Olympiacos he did not get along with coach Pinhas Gershon and before the end of season he got his early termination of his contract.
After Olympiacos he was signed by Bruesa GBC on 22 January 2007, but because of his injury he did not play as expected. During the summer of 2007 he was in serious contract discussion with KK Cedevita from Croatia, but after Cibona approached him did not have to think twice about which team he was to join. He signed a 1 year contract with his former team.
After 9 years he returned to Cibona Zagreb. Saying that he was "excited about his return and that it had always been a privilege and commitment to play for Cibona". He was brought to them by the special insistence of the new Cibona coach, former Croatian basketball player, Josip "Joke" Vranković. He has expressed desire to finish his career with Cibona. In January 2009, he joined another basketball club from the Croatian capitol, KK Zagreb. Although being a veteran, he was a key player in Zagreb's first ever championship title won in 2011. Next season, as Zagreb was eliminated on a title defending path in May 2012, Mulaomerović announced his retirement.