Kyle Palmieri’s gutsy play in his final seconds on the ice immediately after suffering a lower-body injury started the Islanders’ rally from a three-goal deficit.

The Islanders, who hadn’t scored a power-play goal in seven games, even got one, though they couldn’t convert on a four-minute opportunity late in the third period.

They lost to the Flyers 4-3 in a shootout on Friday at UBS Arena and fell to 1-2-1 on their seven-game homestand. Travis Konecny scored the deciding shootout goal.

The Islanders (13-9-3), already without third-line center Jean-Gabriel Pageau (upper body/week to week) and defenseman Alexander Romanov (right shoulder/injured reserve) lost Palmieri at 5:42 of the second period as he got his leg twisted behind the Flyers’ crease.

David Rittich shook off allowing two

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