After exiting the penalty box, Duchene took a pass from Zack Smith and scored on a breakaway to give the Senators a 1-0 lead with 54 seconds left in the first period. Spurgeon finished a backhand deke to tie it 1-1 41 seconds into the second period.
"Our system is trying to be solid throughout the neutral zone and defensive zone," Spurgeon said, "but if we have the opportunity to jump, [Boudreau] encourages that."
Dzingel tapped in a cross-crease pass from Bobby Ryan to give the Senators a 2-1 lead at 8:08.
"Obviously, it's crunch time here," Dzingel said. "Anytime we don't find a way to get it done, it's tough. But we've got another one tomorrow, so we have to find a way to get that done."
Minnesota tied it 2-2 at 14:10 when Greenway jammed in a puck on the edge of the crease. Spurgeon scored his second of the game with a slap shot from below the right face-off dot to give the Wild a 3-2 lead at 16:31.