Vasilevskiy got his blocker on a Bo Horvat breakaway attempt at 11:14.
Hagel extended it to 2-0 at 15:42. Victor Hedman floated the puck through the neutral zone to Hagel, who cut right to left across the crease before he beat Sorokin high blocker side.
“It wasn’t our best period, but at the end of the day, we learned, and we adapted our game style,” Islanders defenseman Matthew Schaefer said. “They came out a little hot, and then I think our back half was definitely a lot better than our start. But we’re going to get better. We’re going to have a better start hopefully next time and keep it going throughout the game.”
DeAngelo cut it to 2-1 at 6:27 of the second period. With Pageau screening Vasilevskiy, DeAngelo scored glove side from the point.
Guentzel’s power-play goal made it 3-1 at 7:54. Nikita Kucherov, stationed in the right dot, found Guentzel all alone in front.
Pageau cut it to 3-2 at 11:41 on a deflection of Schaefer’s shot near the blue line.
Schenn tied it 3-3 on the power play at 19:53 after his redirection from the low slot banked off the stick of Tampa Bay defenseman Erik Cernak and passed Vasilevskiy’s right pad. Schaefer’s one-timer from the high slot was blocked, but Matias Maccelli jumped on the loose puck and fed Horvat deep in the right circle before he found Schenn in front with a slap pass.
“Look, they’re a stingy team,” Guentzel said. “I think they’re a stingy defensive team, and they have some gifted offensive players, so you’ve got to be ready for that. Schaefer is a generational player, and he’s up in the ice a lot. So you’ve got to make sure you don’t waver.”