The right wing broke the game open in the final period to see the Wild to a 4-1 victory against the Penguins.
Pominville converted a pass from Zach Parise eight minutes 39 seconds into the third period and added another moments later.
He completed his hat-trick with an empty-netter with 20 seconds remaining.
Also impressing for the Wild was goaltender Darcy Kuemper, who made 32 saves.
The Dallas Stars had a thrilling 5-4 win over the Florida Panthers thanks to Tyler Seguin's late brace.
Jesper Fast and Ryan Haggerty both struck twice to lead the New York Rangers to a 6-3 win over the Philadelphia Flyers.
Back-up goaltender Curtis McElhinney was a standout as he made 36 saves to see the Columbus Blue Jackets past the Nashville Predators 3-0.
Petr Mrazek stopped 27 shots to lead the Detroit Red Wings to a 3-0 shutout victory against the Toronto Maple Leafs.
The Edmonton Oilers edged the Winnipeg Jets 3-1 and the Arizona Coyotes were too good for the Vancouver Canucks in a 4-2 win.