At 1:40 of the extra session, Ilya Lyubushkin scored a shorthanded goal to give the visitors the overtime victory, after Steven Stamkos went down in the high slot and Buffalo quickly took the puck in the opposite direction.
Despite the loss, Tampa Bay extends its home point streak to 16 games.
Up next for the Bolts is a weekend back-to-back set that will take them to Detroit and Pittsburgh.
Scoring Summary
1st Period
TBL 1, BUF 0
2:19 Steven Stamkos (26) - Brayden Point, Nikita Kucherov
Brayden Point poked the puck ahead for Steven Stamkos to create an odd man rush. Stamkos skated the length of the right wing and picked out the top corner on Eric Comrie with a wrist shot to open the scoring.
TBL 1, BUF 1
11:41 Zemgus Girgensons (7) - Rasmus Dahlin, Tyson Jost
The Sabres tied it up on their first shot on goal at 11:41 of the first period. Rasmus Dahlin circled the zone and tried to center the puck. The feed took an inadvertent deflection off Zemgus Girgensons' skate and slipped through Andrei Vasilevskiy for the equalizer.
2nd Period
BUF 2, TBL 1
9:36 Tage Thompson (37) - Jeff Skinner, Rasmus Dahlin - PPG
On the penalty kill, the Bolts got caught with only one skater back, and Buffalo made them pay on an odd man rush. Jeff Skinner played a cross-ice feed to Tage Thompson, who beat Vasilevskiy's outstretched glove to give the Sabres the lead.
BUF 3, TBL 1
12:20 Tage Thompson (38) - Jeff Skinner
Skinner and Thompson linked up again less than three minutes later. Skinner played a stretch pass ahead for Thompson and he converted on the breakaway chance.
BUF 3, TBL 2
12:36 Victor Hedman (5) - Unassisted
A feed for Pat Maroon got knocked away by Ilya Lyubushkin. Pinching down from the point, Victor Hedman stepped into the loose puck at the left circle and wired a slapshot past Comrie to get make it a one-goal game just 16 seconds after Thompson's second goal.
BUF 4, TBL 2
13:25 Jack Quinn (10) - Peyton Krebs, Casey Mittelstadt
It remained a one-goal deficit for less than a minute. From the corner, Peyton Krebs sent a behind-back feed to Jack Quinn and his shot got through Vasilevskiy's five-hole.
3rd Period
BUF 4, TBL 3
5:48 Brayden Point (34) - Victor Hedman, Brandon Hagel
Hedman found a streaking Point at the offensive blue line to create a chance in alone on Comrie. Point slid a backhander through Comrie's five-hole to get Tampa Bay back within a goal.
BUF 5, TBL 3
6:18 Tage Thompson (39) - Unassisted
Thompson completed his hat trick just 30 seconds after Point's goal, beating Vasilevskiy on a breakaway to put the Sabres back up two.
BUF 5, TBL 4
8:33 Anthony Cirelli (8) - Erik Cernak, Brayden Point
Erik Cernak threw the puck toward the front of the net, and in a mass of bodies, Anthony Cirelli managed to jam it over the line to make it 5-4 with just over 11 minutes to play in regulation.
BUF 5, TBL 5
14:54 Ross Colton (13) - Steven Stamkos, Brayden Point - PPG
Tampa Bay came all the way back to tie the game at five with under five minutes remaining. With the Sabres down a man because of a too many men minor, Ross Colton teed up a one-timer from the top of the right circle that beat Comrie.
Overtime
BUF 6, TBL 5
1:40 Ilya Lyubushkin (1) - Unassisted - SHG
The Bolts began overtime on the power play after the majority of a Buffalo delay of game penalty carried over into the extra session. However, Stamkos got pulled down in the high slot and Lyubushkin quickly went the other way and scored to earn the Sabres the second point.