In Pittsburgh, they went 0 for 4 and could not score during a two-man advantage for 1 minute 29 seconds.
Lundqvist then held the Devils at bay during a two-man advantage late in the second period.
Berthiaume's most critical moments came during a 90-second two-man advantage for the Devils that started 1 minute 50 seconds into the period.
Tkachuk gave the Americans a 1-0 lead at 6:19 of the second period Saturday by scoring during a two-man advantage.
The Devils set him up during a two-man advantage in the second period, but he could not score.
They were denied during a five-on-three advantage in the first 56 seconds of the second period after failing to score on three first-period power plays.
The goal came during a two-man advantage for the Devils.
The Devils took the lead on Shanahan's 12th goal of the season, 7 minutes 29 seconds into the middle period, during a two-man advantage.
The Oilers were unable to score during a two-man advantage for 1 minute 12 seconds during the first period.
Sauve also kept his goal intact early in the second period during a two-man Canadiens' advantage that lasted an entire minute.