Duchene’s tally with 7:18 remaining in the third period blunted a Wild comeback and enabled the Avalanche to force an extra frame.
Jean-Sebastien Giguere made a pair of saves while Milan Hejduk and Duchene bested Niklas Backstrom in the tiebreaker, allowing Colorado to break a three-game skid.
Hejduk tallied in regulation — his 800th career point — and Aaron Palushaj scored for the Avs.
Giguere made 26 saves.
Zach Parise, Michael Rupp and Mikko Koivu each scored and Backstrom made 29 stops for Minnesota.
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