Dallas also Thursday signed forward Colton Sceviour to a two-way contract for the 2012-13 season.
Bachman was 8-5-1 with a 2.77 goals-against average as a rookie last season in Dallas. He had a .910 save percentage in 18 games, and became the first rookie goaltender in Stars history to win his first three NHL starts and the first to start seven consecutive games.
Bachman was drafted in the fourth round of the 2006 NHL draft by the Stars.
Sceviour, a fourth-round draft pick in 2007, spent the past three seasons with the Texas Stars in the American Hockey League. He had 21 goals and 32 assists in 75 games last season.
It's cool when you think about how many great American players have played the game and the two players that were at that 18-game point streak and what they've done in their careers. It's pretty cool right now, but it was kind of overshadowed by the loss.
— Blackhawks forward Patrick Kane after breaking the record for longest point streak by an American-born player with a goal and an assist in a 3-2 overtime loss against the Kings