The Wild went into the game with a 20-6-2 home record this season, but the Coyotes stayed hot and won for the eighth time in nine outings.
Guillaume Latendresse gave Minnesota the early lead with a power-play goal 4:46 into the contest, but the Wild could not score again until just 2:28 remained in the game.
Niklas Backstrom made 28 saves for Minnesota, which had won the first two games of a five-game homestand.
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