The deal was reached before a scheduled arbitration hearing Friday in Toronto.
The 25-year-old Swede was one of the top free agents when he signed with the Stars two years ago. He had 17 goals in 55 games as a rookie but struggled with a shoulder injury last season. He had two goals in 44 games.
Brunnstrom starred in the Swedish Elite League before choosing Dallas over the Detroit Red Wings and other NHL suitors.
Published at 11:21 AM CDT on Jul 23, 2010 | Updated at 11:30 AM CDT on Jul 23, 2010