It was Vasilevskiy’s first shutout of the season in his fifth game; he missed the first 20 after having microdiscectomy surgery to address a lumbar disk herniation Sept. 28.
"This was the first game I really felt like myself," Vasilevskiy said. "Obviously I didn't have much to cheer about the last few games; it's been pretty hard for the first few games for me. Tonight, the whole team played great and we got a great result."
Nikita Kucherov extended his point streak to 10 games with a goal and an assist, and Victor Hedman played his 1,000th NHL game for the Lightning (11-10-5), who had lost four in a row, including 8-1 at Dallas on Saturday.
"It's a humbling game, it's a funny game; one night everything goes in, and the next night nothing goes in," Tampa Bay coach Jon Cooper said. "Just because your name is Andrei Vasilevskiy, [it] doesn't mean you can take 207 days off and just step in and be Vezina-caliber again. He's got to get his feet wet too. Now you'll hopefully see the most consistent game that he wants to play."
Jake Oettinger made 19 saves for the Stars (14-6-3), who were 2-0-1 in their previous three.
"I think you beat a team 8-1, especially a championship team, you know they are going to respond," Dallas coach Peter DeBoer said. "Their best players, to a man, were at a different level tonight. We knew that was going to happen."