Bečirovič played with the Slovenian youth squad teams of KK Bistrica, and he made his debut with their senior team during the 1995–96 season. He then moved to the Slovenian club Maribor Ovni for the 1996–97 season. He then moved to the Slovenian Premiere A League team Pivovarna Laško, where he played from 1997–99, and next to the Slovenian team Olimpija Ljubljana, where he played from 1999–01. With Olimpija Ljubljana, he won the 2001 Slovenian League Championship, and the 2000 and 2001 Slovenian Cups. He also played in Slovenia with Krka Novo Mesto, in the 2003–04 season.