Pominville's second goal 5 minutes into the third period gave Minnesota a 4-1 lead and the Wild turned back a late Flames rally to secure the victory.
Niklas Backstrom earned the victory, turning aside 20-of-23 shots.
Ben Hanowski netted his first career goal while Jiri Hudler and Sven Baertschi also scored for the Flames.
Joey MacDonald made 23 saves in the loss.
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