With the Wild sputtering on offense once again, Jason Zucker scored for Minnesota with 4:19 left in regulation to send it to overtime.
Calgary's Mark Giordano was then given a delay-of-game penalty with 43 seconds to go. The penalty carried over into the extra period, and Parise beat goalie Joey MacDonald for the 4-on-3 winner. Parise's goal was only Minnesota's fourth in its last 41 power-play opportunities.
Alex Tanguay scored for the Flames and MacDonald stopped 28 shots.
Niklas Backstrom made 20 saves for the Wild.
The Flames took nine of the game's first 10 shots and led 1-0 after Tanguay batted in a shot that popped up and out of Backstrom's glove.
Parise appeared to tie it later in the first period, but replays showed that Giordano stopped the puck before it completely crossed the red line and the goal was waived off.
The Wild's tough luck continued in the second.
Mikko Koivu had two power-play shots ring off the pipe and Minnesota didn't score despite controlling play most of the period.
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Things went from bad to worse for the Wild when Charlie Coyle was given a five-minute major for elbowing Matt Stajan with just over five minutes left in the second. But the Flames didn't generate a shot on the ensuing power play, and the Wild took some momentum into the second intermission.
Minnesota had an early power-play opportunity in the third, but didn't score. In fact, Stajan had a short-handed breakaway, but was turned away by Backstrom.
Minnesota's Jonas Brodin took a four-minute penalty for high-sticking later in the third, but once again Calgary failed to score and let the Wild hang around.
Calgary failed to go over .500 for the first time this season.
NOTES: Cal Clutterbuck was placed on injured reserve with a thigh contusion. The Wild forward missed his second consecutive game and will not travel on Minnesota's upcoming two-game road trip. ... Tanguay is fifth all-time with 46 points against the Wild. Teammate Jarome Iginla is first with 65. ... One of the loudest cheers of the night from the Wild home crowd came in the second period, when it was announced that the Minnesota Gophers upset No. 1 Indiana in men's basketball.
Press; BY ADAM CZECH]
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