Right wing Ty Rattie's equalizer late in the third period sent the Chicago Wolves into overtime, but Texas scored 35 seconds into the extra session to earn a 3-2 victory Sunday afternoon at Allstate Arena in Rosemont.
Rattie delivered his team-high 24th goal, and center Keith Aucoin also scored for the Wolves (35-19-5-2).
Jake Allen (26-15-2) stopped 27 of 30 shots in regulation and overtime as the Wolves suffered back-to-back losses for the first time in two months.
The Stars (38-17-3-5), who had beaten the Wolves on Saturday night, pulled into a share of the Western Conference lead with Grand Rapids.
"If we want to play with the big boys, we have to think like the big boys," said Wolves coach John Anderson. "Not just play like them, think like them. We can't have 'too many men' penalties. We can't have miscues behind the net. They'll cost you every time."
The Wolves opened the scoring at 7:25 of the first period when left wing Sergey Andronov intercepted a clearing pass in the high slot, froze goaltender Josh Robinson with a fake slap shot and dished the puck to Aucoin waiting alone in the left circle. Aucoin one-timed the pass into the net.
The Stars responded 47 seconds later when Allen and his defensemen misconnected while transferring the puck behind the net. The puck slid just to the right of the crease where left wing Kevin Henderson banged it home.
Henderson notched his second goal at 13:27 of the second period, moments after the Wolves killed off a Texas power play. As center Taylor Vause skated behind the net with the puck, Henderson sneaked down the slot and one-timed Vause's backhand pass past Allen.
Rattie pulled the Wolves into a 2-2 tie with 3:34 to play in regulation. He camped near the crease, accepted Nathan Longpre's pass from behind the net and threaded the puck between Robinson's legs. Alexander Bolduc earned an assist on the play.
The Stars claimed the victory 35 seconds into overtime when Derek Meech backhanded a pass in the slot to Mike Hedden, who had an open net to push in the winner.
Robinson (6-6-0) posted 23 saves to pick up the win.
The Wolves host the Rockford IceHogs in an Illinois Lottery Cup game at 7:30 p.m. Friday.