"They spent a lot of time in our zone. We were defending way too much especially in the first half of the game," Parise said. "It felt like they didn't even need to scrape the other end."
Greiss, who has allowed three goals on 157 shots and is 4-0-1 in his past five starts, made 12 saves in the third period.
"We just overworked those guys all night long and it was a great team effort here," Greiss said. "It's a sign of our team, how hard we battle, how hard we work, everybody is buying in. There is no superstar. Everyone is just doing their job."
The Islanders had 18 blocked shots in the game, including one by captain Anders Lee with his helmet in the final 75 seconds.
"Huge commitment at the end, guys are blocking shots with their legs, their ankles, their head, you name it, they're getting in the way," Trotz said.
Dubnyk started for the second straight day after he made 16 saves in a 4-2 win at the New Jersey Devils on Saturday.
"You've just got to understand it's playoff hockey time and every point matters," Dubnyk said. "It's going to be this way down to the wire, so just make sure I am taking care of myself and prepared to play whenever they ask me to."