Anthony Beauvillier scored twice during a three-goal, third-period rally, and the Islanders beat the Flyers 4-3 in a shootout Saturday night in Philadelphia.

Beauvillier and Mathew Barzal combined to erase a 3-0 deficit in the final 13 minutes of regulation, and Jordan Eberle and Barzal scored in the shootout.

The Islanders are on a 13-0-1 roll that has vaulted them into second place in the Metropolitan Division behind Washington. It’s their longest stretch without a regulation loss since a 15-game run in 1982.

After getting stymied by goaltender Brian Elliott for most of the evening, the Islanders broke through when Beauvillier took advantage of the Flyers’ sloppy line change before beating Elliott.

Barzal slammed one past Elliott on a power play with 6:22 left, and Beauvillier got his fourth goal in two games with 2:04 left.

Thomas Greiss stopped 28 shots and turned away Sean Couturier and Claude Giroux in the shootout.

Couturier got the game’s first goal on a wrist shot that deflected off defenseman Nick Leddy’s stick in the first period.

Ivan Provorov scored on a power play with 24 seconds left in the first. He one-timed Couturier’s feed for his fourth goal of the season.

Oskar Lindblom added his ninth of the season midway through the second period.

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