After grabbing the 2-0 lead less than 4 minutes into the game, the Wild kept the Oilers off the board until Magnus Paajarvi scored the lone Edmonton goal at 16:14 of the third period.
Anton Khudobin made 31 saves for Minnesota.
Nikolai Khabibulin allowed four goals on 26 shots for Edmonton.
The third period featured a pair of rows that resulted in four fighting majors and a game misconduct for Minnesota's Brad Staubitz.
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