Tobias Stephan made the second start of his NHL career and his 19 saves brought him his first career victory.
Minnesota (6-1-1) has lost nine straight games in Dallas since a 3-2 overtime victory in March 2003.
Niklas Backstrom, who had played every minute this year for the Wild, was removed after allowing three goals on 13 shots in the first period. Josh Harding came on to stop 19 of 20 shots.
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