Early in the third period, Lightning defenseman Braydon Coburn did well to break up Rust's breakaway attempt before he could get a shot off on goalie Andrei Vasilevskiy. He had another golden opportunity 6:42 into the third, when he shot over the net on a 2-on-1.
Rust nearly became the first rookie in NHL history to score a hat trick in a Game 7 when he wrapped the puck around Tampa Bay's net 7:08 into the third, but was denied by Vasilevskiy.
"You obviously want to bury that hat trick goal," Rust said. "Not just for myself, but to give the team a little bit bigger of a cushion."
But his teammates were more than satisfied.
"He's a focused guy, he's always working pretty hard in practice to get better," fellow rookie Matt Murray said. "I think with every young player, you see development, if they put in the time, and he definitely does that. He had a real breakout night tonight, and it doesn't really surprise me. We all know that he's a really good player."
The last time the Penguins played in the Stanley Cup Final, forward Max Talbot scored each of Pittsburgh's goals in its 2-1 Game 7 win against the Detroit Red Wings. After Rust's similar performance Thursday, comparisons were warranted.
"Someone said Max Talbot early. It's one of those things where guys rise to the occasion," Kunitz said. "Everyone is willing to be a part of the game. Some guys, for whatever reason, have that extra little bit. The way he shot that puck, he was probably dreaming of that for a long time."