After the Lightning lost Game 1, Palat's goal at 4:40 of overtime gave them a 4-3 victory in Game 2. He scored the opening goal in a 7-1 victory in Game 3.
Tampa Bay can advance to the Eastern Conference Final for the fourth time in six seasons with a victory in Game 5 on Monday (7 p.m. ET; NBCSN, CBC, SN TVAS) in Toronto, the Eastern hub city.
Teams that have a 3-1 lead are 284-29 (90.7 percent) winning a best-of-7 NHL series, including 6-0 this postseason.
This is not the first time Palat has been hard on the Bruins in the playoffs. In 2018, he scored two game-winning goals and had four points (three goals, one assist) to help the Lightning defeat them in five games in the second round.
Palat said he believes his performance this time mirrors the success the Lightning are experiencing by playing in a manner necessary to win against elite teams in the postseason.
"We're playing with confidence," Palat said. "We don't cheat on the ice. We're doing it the right way. We're staying on the right side of the puck. We try to not turn the puck over, and I think all four lines are playing good hockey, and it's huge."
Palat has reached the 20-goal mark once in his eight NHL seasons -- he scored 23 in 2013-14, his first full season -- but he seems to become more dangerous in the postseason, where has 50 points (25 goals, 25 assists) in 79 games. With 25 postseason goals, he is tied with Alex Killorn for the fourth-most in Tampa Bay history.