"We battled hard," said McDavid, who has a three-game point streak after his assist on Maroon's goal. "They kind of trapped it up and played that defensive game, which you have to expect with them playing back-to-back games. They did a good job at trapping up the middle and not allowing us to get speed. We did a good job, but ultimately, we've got to find a way to win a game like that. It's just not good enough coming close."
The teams combined for four goals in the first period.
Former Edmonton forward Lauri Korpikoski gave Dallas a 1-0 lead when he scored 28 seconds in on the game's first shot on goal. Maroon tied it 1-1 at 3:37 when he scored on a rebound from in front of the net.
Eaves put the Stars up 2-1 on the power play at 4:51, tipping a point shot from Seguin between Talbot's pads.
"We're always playing from behind," McDavid said. "We're putting ourselves behind the eight-ball and we have to figure out a way to have better starts."
Pitlick tied it 2-2 with 28.4 seconds left in the first period on an excellent individual effort.
The Oilers had several quality chances to tie the game in the third period but couldn't beat Lehtonen. He made a tough save on Milan Lucic with 6:45 left, and then stopped McDavid with 1:26 remaining on a shot from the slot.
"Give Dallas credit, but the other way, a sleepy team and we weren't ready to go right off the bat," Edmonton coach Todd McLellan said. "We did a lot of watching and then reacting instead of participating."