Erik Cole and Kyle Brodziak scored in regulation for the Oilers, who finished a season-high seven-game road trip with a 4-3-0 record. A second-round pick (31st overall) by Edmonton in 2002, Jeff Drouin-Deslauriers made 40 saves in his third career start.
Nikolai Zherdev was the first shooter in the extra segment and his wrister was turned aside by Drouin-Deslauriers. Sam Gagner went first for Edmonton, but Lundqvist poke checked before the second-year forward could get a shot away.
Fredrik Sjostrom was next for New York and his bid was denied, then Hemsky fired a shot that deflected off Lundqvist's glove and floated into the net. Drouin-Deslauriers then preserved the win with a glove save on Markus Naslund.
Trailing 2-1, Drury netted the game-tying marker 46 seconds into the third period. Scott Gomez pulled up at the right point and threw the puck on goal. Drouin-Deslauriers made the save, but the Rangers captain, driving to the net, swatted the rebound while falling to the ice and with one hand on his stick.
Mara was assessed a holding-the-stick penalty 14 seconds into overtime, but Edmonton failed to convert.
Edmonton opened the scoring on a fortuitous carom 3:27 into the contest. Fernando Pisani held the puck in the left circle and his intended feed to Cole, coming down the slot, went off the power forward's left skate at the edge of the crease before bouncing off the near post and in behind Lundqvist.
New York had the better of the play in the middle stanza and peppered the rookie netminder, firing 20 shots on goal, with only one finding the back of the net. Meanwhile, at the other end of the rink, Lundqvist didn't see nearly as much rubber, but Brodziak managed to lit the lamp at the 3:30 mark.
Mara then put the Rangers on the board at 8:13, accepting a feed from Ryan Callahan inside the left circle and ripping a low shot past Drouin- Deslauriers.