The Panthers are 7-3-5 overall and has picked up at least one point for the 11th time in the past 12 games. The Capitals improved to 12-2-3.
And Florida never backed down until it was out of opportunities.
Washington's John Carlson scored 25 seconds into the game to put the Panthers in the early hole.
Their response: an unassisted Frank Vatrano goal 90 seconds later. Brett Connolly, who spent the last three seasons with the Capitals before signing with the Panthers this offseason, put the Panthers in the lead with about five and a half minutes left in the first period when a long shot from defenseman Anton Stralman deflected off Connolly's stick and past goaltender Braden Holtby.
An Aleksander Barkov goal 30 seconds into the second period -- Barkov's third goal in as many games -- gave the Panthers a two-goal lead before the Capitals mounted a comeback led by Alex Ovechkin.
The 15-year NHL veteran scored twice in a span of six minutes -- first on a power-play goal and then on a shot that bounced off Panthers goaltender Sergei Bobrovsky, then Panthers defenseman MacKenzie Weegar's stick and into the net -- to tie the game at 3-3.
The Panthers' response: An Evgenii Dadonov power play goal on a Jonathan Huberdeau behind-the-net pass with 1:01 left in the middle stanza.
Wilson evened the game once more 44 seconds into the third period before both goaltenders combined for 23 saves over the remainder of the period to set up the game-defining overtime period.
Holtby stopped Aaron Ekblad's wrist shot 11 seconds into the frame. Wilson scored six seconds later.
The Capitals executed.
The Panthers had no rally this time.
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