That was the first game Pronger missed this season, as he was sidelined by an eye injury.
The Flyers are 4-3-1 without Pronger this season, and 8-3-2 with him. A year ago, they won just 16 of the 32 regular-season games he did not play.
In Wednesday's win on Long Island, the Flyers overcame a 3-1 deficit.
"I'm really happy with the way we fought back," coach Peter Laviolette said, adding he was "impressed with the fight" and "the resiliency to keep coming and stay with it. We got some real good performances from guys in the second and third period."
It was the first time this season the Flyers won when trailing entering the third period. They are now 1-6-1 in those games.
In relief of the struggling Bryzgalov, goalie Sergei Bobrovsky had probably his best game of the season, turning aside all 23 shots he faced.
"There was a shift near the end of the second period where he stopped two breakaways back-to-back," center Danny Briere said. "That could have been the turning point of the game. That's two big saves, and it's not easy when you come in relief like that, trying to keep your team in the game."
Bobrovsky, now 6-0 with a 1.83 goals-against average in his career against the Isles, got help from a strong penalty-killing effort in overtime. Led by Max Talbot and Sean Couturier, the Flyers killed a four-on-three power play before Briere scored the winner.
"It can be a game-changer," Talbot said of the PK, "and I think it was."
Briere had tied the game with 5 minutes, 42 seconds left in regulation. He had scored just one goal in his previous eight games.