He also represented the senior men's Bosnia and Herzegovina national basketball team[1] and was one of the highest-paid point guards in Europe in 2008.

He spent two seasons in the NBA, with the Celtics (2002–03), the Cleveland Cavaliers (2003–04), and the Golden State Warriors (2003–04), averaging 6.5 points and 2.2 assists per game.

The Charlotte Bobcats selected him from the Warriors in the NBA expansion draft, and then waived him shortly thereafter, before he played any games with the club.

Bremer's final NBA game was played on March 28, 2004, in a 105 - 77 win over the Los Angeles Clippers where he recorded 2 points.

[5] In December 2012, Bremer left Fenerbahçe Ülker and returned to his former club Emporio Armani Milano.