Stars forward Tyler Segerstrom scored a goal in the first period, and Tyler Segal scored the game-winning goal in overtime.
It was a fitting end to a great weekend for the Stars, who beat the Nashville Predators 4-2 on Friday night.
Seguins goal came at 7:06 of the first when he scored the first of the goals.
He added an assist on Seguini’s goal at 13:06.
Stars forward John Klingberg finished with five shots on goal for the Predators, who have lost four of five.
He scored his third goal in four games.
He had three assists in the loss to Nashville.
The Stars were 3-0-0 at home and 2-0 against the Predators at home.
It’s the first time the Stars have won three straight at Bridgestone Arena.
This is the third time the Predators have won four straight at home, having lost four straight in 2016-17.
The Preds will be without defenceman Mattias Ekholm (knee), who was injured in a fight with Dallas winger Cody Eakin.
Stars coach Lindy Ruff said he didn’t want Ekholm to play.
“I felt like it was a bad decision to play him in,” Ruff said.
“It’s going to be a tough decision, but I felt like he’s got a good shot at it.”
The Predators won’t be without centre Alex Goligoski (knees) and winger Mattias Pettersson (hip), who were both held out of practice Wednesday due to back spasms.
Stars defenceman Jamie Oleksiak, who missed his third straight game because of a lower body injury, was back in action.
He finished with a goal and an assist.
Dallas has won four of six.