He spent one season with the fourth-tier club, during which time he scored once in 13 league games, before returning to the Úrvalsdeild with Þróttur Reykjavík.
Bjarni subsequently signed for 3. deild outfit Einherji for the 2009 season, and went on to score 5 goals in 22 league matches for the side before retiring the following year.
During the 1997 season, Bjarni was selected to represent the Iceland under-21 side on three occasions, including a 1–0 win against Ireland on 5 September.
He won his first senior international cap on 31 January 2000, coming on as a substitute for Indriði Sigurðsson in the goalless draw with Norway at the La Manga Stadium in Spain.
Bjarni won a total of 10 caps for Iceland, including three appearances in the qualifying tournament for the 2004 UEFA European Championship.