Marner put the Maple Leafs ahead 1-0 at 4:14 of the first period with a tip in at the right post off a cross-crease pass from Rielly.
Cole Sillinger tied it 1-1 at 11:17 with a wrist shot from the slot.
Matthews gave the Maple Leafs a 2-1 lead at 12:55 with a wrist shot from the right circle. He has nine points (six goals, three assists) during a five-game point streak.
Nicholas Robertson extended the lead to 3-1 at 1:35 of the second period, redirecting a one-timer by Timothy Liljegren from the slot.
Brendan Gaunce cut it to 3-2 at 3:20 with his first goal of the season, a snap shot from in front that hit Samsonov’s pad and looped over his right shoulder into the net.
Nylander scored a power-play goal from a tight angle below the right circle at 9:42 to make it 4-2. He extended his point streak to 13 games (21 points; five goals, 16 assists).
The Blue Jackets pulled within 4-3 at 11:05 on a 4-on-3 power play when Dmitri Voronkov redirected Gaudreau’s wrist shot from the slot past Samsonov.
Kent Johnson tied it 4-4 at 12:43, shifting the puck to his backhand and lifting it over Samsonov’s glove from the top of the crease.
John Tavares tipped in a Nylander shot on the power play to make it 5-4 at 19:05.
Fantilli picked up the puck in the Blue Jackets’ defensive zone, skated up the ice and beat Samsonov from the left circle to tie it 5-5 at 13:46 of the third.
“It felt great,” Fantilli said. “I know we have it in this locker room. It felt amazing to see one go our way.”