Filip Gustavsson made 28 saves for the Wild, who had lost five of seven (2-3-2).
The Wild recorded their League-leading 11th overtime win of 2025-26 and tied their franchise record for most in a single season, set in 2021-22. Minnesota has played a League-leading 27 extra-time games this season and has won 15.
“We knew we had to play our best,” Gustavsson said. “Dallas is such a good team. We showed up and played a (heck) of a game.”
Jason Robertson scored, and Oettinger made 26 saves for the Stars, who are 16-1-2 in their past 19 games.
Dallas defeated Colorado 2-1 in a shootout on Wednesday.
“It’s hard to move,” Stars coach Glen Gulutzan said, referencing the Central. “Of course you want all four points. You are playing a 100-point team and a 90-point team, and you are a 96-point team, you know this is probably the way it ends up.
“We got three of four points. It’s tight. Everyone talks about the Central and this is what it is.”
Brink tied the game at 1-1 at 10:45 of the second period. The speedy forward took a headman pass from defenseman Quinn Hughes at the attacking blue line for a partial breakaway and went forehand-backhand and flipped it past Oettinger before defenseman Tyler Myers could close the gap.
“I mean, I definitely didn’t know I was going to get a breakaway; luckily he found me,” Brink said. “He had his head up like usual. Luckily, I was able to finish.”
It’s the second goal for Brink in five games since he was acquired from the Philadelphia Flyers on March 6.