"Two big points for us this weekend, but in my eyes it probably should have been four," Draisaitl said. "So obviously it's something we have to do better, closing games out and finding ways to get two points. But it's still a big point for us."
Kotkaniemi scored for a second straight game to tie it at 3-3 at 13:35 of the third period.
"We had them frustrated," Oilers coach Ken Hitchcock said. "They couldn't get through the neutral zone, we were turning pucks over and creating scoring chances. We played one (heck) of a third period. That's the best I've seen a team play for a long time. We had perfect positioning, our reloads, our checking was unbelievable. And we did a (heck) of a job. But we've got to have a save there."