Hudler, who also scored in regulation, deked Stars goaltender Richard Bachman on his approach and slid the puck into the net with a backhand shot to give the Red Wings their fourth straight win.
Tomas Holmstrom scored for Detroit in regulation. Hudler's goal at 1:43 of the second period knotted the score 2-2.
Dallas has lost three straight games by one goal.
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