Detroit’s Luke Glendening (41) looks for an opening behind New York goaltender Henrik Lundqvist (30) during the third period Sunday. (AP Photo)

NEW YORK (AP) — With time winding down in overtime, Trevor Daley knew he needed to get in position in front of the net.

Daley was in the right spot and tipped in Frans Nielsen’s pass with 5.6 seconds showing on the clock to lift the Detroit Red Wings to a 3-2 victory over the rebuilding New York Rangers on Sunday night.

“I heard the bench saying there was only 10 seconds left so I knew we had to get it to the net,” Daley said. “I went to the net and Nielsen made a great play. I just got lucky and put my stick on it and it went in.”

Andreas Athanasiou and Darren Helm also scored for the Red Wings, and Jimmy Howard stopped 36 shots. Detroit improved to 5-3-2 in its last 10 games and pulled into a tie with Florida five points behind Columbus for the final playoff spot in the Eastern Conference.

“We know we’re in desperation hockey,” Daley said. “We know we’ve got to win, we’ve got to win now. Tonight was just another desperate game on a back-to-back.”

J.T. Miller and Jesper Fast scored for the Rangers, and Henrik Lundqvist made 31 saves. New York lost its seventh straight, hours after trading star forward Rick Nash to Boston for three players and two draft picks. It also was the Rangers’ first game since trading speedy forward Michael Grabner to New Jersey on Friday night.

Ryan Spooner, one of the players acquired from the Bruins, had two assists in his debut for the Rangers, who are 0-6-1 in their last seven and have just three wins in the last 17 games (3-13-1).

New York’s Chris Kreider hit the crossbar on a backhand with 55 seconds left in the extra period.

“We just can’t catch a break right now,” Lundqvist said.

Fast tied it when he put in the rebound of Kevin Hayes’ shot from the left side with 8:44 left in regulation for his 10th of the season.

Red Wings coach Jeff Blashill liked the way his team pulled out the victory in overtime, one night after beating Carolina at home.

“We think we’ve been in position to do this type of thing, to go on runs, to be a playoff team,” he said. “We haven’t done it enough. It doesn’t matter what you think, it matters what you prove, but we believe a lot in this team.”

Howard made four great saves — one on Brady Skjei and three successive tries by Pavel Buchnevich. — during a flurry by the Rangers to preserve Detroit’s lead with 11:20 remaining. The puck went in the net but officials waved it off, saying Mika Zibanejad kicked it in.