After an ideal start, the Devils coughed up four straight goals to surrender their two-goal lead for good.
The Wild scored three straight goals in the second period, erasing a two-goal deficit before handing the Devils a 4-2 loss on Thursday at the Prudential Center in Newark.
Eric Staal added an empty netter for the Wild's fourth unanswered goal with 1:18 left in regulation.
The Devils struck for the opening two goals, but the second period proved costly for the home team, which dropped its second straight game at The Rock.
Forward Taylor Hall extended his point streak to 13 straight games and 20 consecutive appearances when he opened the scoring for the Devils in the first period.