They've quickly slipped toward the bottom of the standings, though, and haven't won back-to-back games since Nov. 22 and 25.
Nugent-Hopkins -- named to the All-Star team Thursday -- hasn't played since suffering a shoulder injury in a win over Chicago on Nov. 19.
"It's tough having to watch and not be able to go out there and play and help the guys out," Nugent-Hopkins told the team's official website. "I'm going to get all the recovery I can. It's making progress and it's feeling a lot better, so hopefully I can get better sooner rather than later."
Eberle, meanwhile, is expected to miss two to three weeks with a knee injury. He leads the team with 17 goals and 26 assists and sat out his first game Wednesday – a 2-1 overtime loss to New Jersey.
Hall had an assist but had his four-game goal-scoring streak snapped as Edmonton dropped its fourth straight.
"You don't want to be doing cartwheels over getting a point," said coach Tom Renney, whose team is 2-10-1 since Dec. 10. "You want to get two, that's what we are all here to do. We played a solid game and didn't give up too much. The chances were very even."
The Oilers (16-22-4) have been outscored 25-13 in dropping the last seven meetings in Edmonton against the Ducks, who had their three-game winning streak snapped with a 1-0 overtime loss to Calgary on Thursday.
Anaheim, which has won eight of the last nine meetings overall, is one of two teams – conference-worst Columbus is the other – sitting below the Oilers in the standings.
"We played well enough to get two points, but we got one," forward Saku Koivu said. "When you look at the situation where we are, in games like this, we can't afford to lose that one point."
The Ducks (13-22-7) dropped to 6-9-3 under coach Bruce Boudreau, who replaced the fired Randy Carlyle on Dec. 1.
"It's a game of inches and it could have gone either way, but we didn't win it. We got a point, but at this stage of the game, I think we need two," Boudreau said.
For as much as Anaheim has struggled, Thursday marked the first time it had been shut out since a 5-0 loss at Detroit on Nov. 5.
It's unclear who will start Friday, but Hiller is 5-0-0 with a 2.01 goals-against average lifetime in Edmonton.
AccuScore has powered more than 10,000 simulations for every NHL game on ESPN.com, calculating how each team's performance changes in response to game conditions and opponent's abilities. Each game is simulated and the game is replayed a minimum of 10,000 times to generate forecasted winning percentages.