The Bruins were tantalizingly close to finishing off their five-game road trip in style, but they just couldn’t close the deal.

The B’s lost a 2-0 lead, with the equalizer coming off the stick of Connor McDavid with 2:21 left in regulation, and Matthias Ekholm scored the overtime winner at 1:04 of the extra session to lift the Edmonton Oilers to a 3-2 win on Thursday.

In a mad scramble in front of the net, Brad Marchand overskated the puck and that allowed Ryan Nugent-Hopkins to feed Ekholm for the prime scoring chance and winner.

The B’s finished the trip at 2-2-1. It would have felt a lot better if it was 3-2, and they played well enough to win on Thursday.

The Bruins started poorly in Calgary on Tuesday but that was far from the case in Edmonton, where they took a 2-0 first period lead in the opening 20 minutes.

The first goal was a gift just 1:07 into the game. Elias Lindholm, who had his best game as a Bruin in Calgary, controlled a loose puck along the left boards. With no options, he simply snapped it toward the net. Leon Draisaitl tried to knock it down but, instead he deflected it past goalie Stuart Skinner for the 1-0 lead.

The B’s would have better chances after that. Skinner stoned newest Bruin Oliver Wahlstrom on a turnaround shot right in front of the net and then he thwarted David Pastrnak on a breakaway.

But the B’s did get one more before the period was out. Using Marc McLaughlin as his blocker, Mark Kastelic barreled up the right wing and into the end zone. He cut to the net, avoided defenseman Troy Stetcher in front of the net and beat Skinner with a beautiful backhander at 17:35. It was hard-working Kastelic’s fourth of the year but first since Oct. 26.

Throughout the first period, the B’s did a good job of slowing down the Oilers through the neutral zone and giving them little time and space in the offensive zone. The B’s held a 11-5 shot advantage in the first.

The Oilers began to get their skating legs going in the second period and started attacking with speed. It earned them the first power play when Nikita Zadorov was forced to trip Evan Bouchard, but the B’s came up with a strong kill.

The B’s got a PP of their own when McDavid hauled down Marchand from behind on an Oiler attack. On the advantage, Marchand set up Pastrnak for a clean look but he missed the net on the short side.

Edmonton got on the board on what looked like a nothing play. Zadorov was holding off an Oiler in the corner and Kastelic came in to help. He banked the puck off the boards but it bounced out to Zach Hyman, whose one-timer seemed to surprise Jeremy Swayman and beat him between the pads at 11:17.

The B’s had to kill another one when McDavid went down like an anchor when he felt contact from Mason Lohrei. But they were able to kill off most of that until Nugent-Hopkins was called for slashing with 30 seconds left in the PP. Again, the B’s couldn’t capitalize and they went into the third protecting a one-goal lead.

The Oilers, who held a 10-6 shot advantage in the second, appeared to be gaining momentum.

The B’s held them off until there was just 2:21 left in regulation. That’s when a bad change and McDavid struck. The B’s mushed the puck out to the neutral zone and a couple of B’s went for the bench. But the Oilers went right back on the attack. McDavid beat Zadorov off the rush and then jammed it through Swayman to make it 2-2 and send it to OT.