With Nedeljkovic pulled for the extra attacker, Svechnikov scored from the low slot off a pass from behind the net by Jordan Staal to make it 2-1 with 1:30 remaining.
"I mean, we all know, he's one of the best goalies in the world," Svechnikov said of Vasilevskiy. "It's hard to score against him. But we probably have to put some skin against him and shoot some pucks more and more."
The Hurricanes outshot the Lightning 70-45 in the first two games.
"I don't think there's going to be a lot of pretty passing-play goals in this series," Tampa Bay captain Steven Stamkos said. "There's not a lot of room out there offensively on both sides with the way that the teams defend, with the way that the goaltenders are playing. Even special teams tonight, it was more a penalty-kill clinic than a power-play clinic."
Carolina forward Vincent Trocheck sustained an undisclosed injury when he collided with teammate Warren Foegele in the Hurricanes zone with a little more than a minute remaining in the second period. Trocheck returned for one shift in the third before leaving the game.
"It doesn't look good," Brind'Amour said. "I don't know exactly the extent of it at this point, but he obviously couldn't continue, so that's never good. He would play if he could. That's another challenge we're going to have to overcome, but I'll know more tomorrow, hopefully."
NOTES: Teams that take a 2-0 lead are 334-51 (.867) winning a best-of-7 NHL playoff series, including 4-0 in the first round. The Lightning are 7-0. ... Vasilevskiy is the third goalie in Tampa Bay history to allow one or fewer goals in three straight postseason games (Nikolai Khabibulin, 2003; Ben Bishop, 2016). … It was Vasilevskiy's 39th NHL playoff win, tying Khabibulin for most among Russia-born goalies. … Hedman became the seventh defenseman in NHL history with at least 10 assists through the first eight games of a single postseason. … The Hurricanes have allowed the first goal in seven of eight postseason games.