Nielsen snapped a wrist shot between the pads of Ben Bishop moments after Valtteri Filppula rang a shot off the post to the right of Islanders goalie Kevin Poulin at the other end. The Islanders had a seven-game road winning streak snapped Tuesday at Florida.
Tampa Bay's Martin St. Louis beat Poulin from the right circle to open the scoring on a power play 5:45 into the game, capitalizing on a penalty-killing unit ranked last in the league.
Vanek pulled New York even on a power play at 18:22 of the second, taking a pass in the low slot from Nielsen and lifting it over a fallen Bishop.
Both goalies finished with 29 saves.
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