Hischier gave New Jersey a 2-1 lead at 13:56 when he jammed in a loose puck in the goal crease, but Mitchell Marner responded for Toronto 58 seconds later at 14:54 on a one-timer from Matthews to make it 2-2.
Maple Leafs coach Sheldon Keefe, who put Giordano in the starting lineup, said he was very impressed with his debut.
"You talk about his comfort level, my comfort level was high when he was out there," Keefe said. " … You can just tell he's a veteran, he knows how to play. Despite coming in, new teammates, new city, new system, he was just confident, moved pucks, defended, got in peoples' way. I really liked his play tonight."
NOTES: Hischier has four straight multipoint games (two goals, six assists). … Devils forward Jack Hughes has scored five points (three goals, two assists) in his past four games. … Marner's goal was his 27th, an NHL career high. … Matthews had an assist for his 80th point this season, tying his NHL career high (2019-20). He is the third player in Maple Leafs history to score 80 points within his first 58 games of a season, joining Doug Gilmour (1992-93, 1993-94) and Darryl Sittler (1977-78).