Frank Vatrano, Denis Malgin and Henrik Borgstrom scored, and Bogdan Kiselevich had two assists for Florida (17-17-8), which has lost four in a row (0-3-1). James Reimer made 21 saves.
"When the opposing team scores eight seconds before the end of the third it's a pretty bad feeling because you think you've already won the game, kind of," Borgstrom said. "You're on the bench and hoping to get the W, but they were able to score the game-tying goal."
Vatrano scored at 9:06 of the first period on a shot from the right face-off circle to put the Panthers up 1-0.
Nurse tied it 1-1 26 seconds later when he took a drop pass from Alex Chiasson in the slot and shot through Reimer's pads.
"It was unfortunate the way it ended, eight seconds to go to get two points," Panthers coach Bob Boughner said. "I thought we played a heck of a road game. I think we gave up 18 shots in regulation. We produced some chances, we scored a big goal at the end, we did a lot of good things."
Malgin put the Panthers up 2-1 at 4:28 of the second period, collecting a clearing attempt from Oilers defenseman Adam Larsson in the slot and shooting it past Talbot.