The Bees edged a seven-goal thriller at Turf Moor, where the hosts had recovered from 3-0 down to level the contest, before the Denmark international snatched all three points in the 93rd minute.

Brentford began brightly and took the lead in the ninth minute when Damsgaard headed in Dango Ouattara's corner, while the goalscorer turned provider for Igor Thiago to double the lead on 25 minutes.

Kevin Schade made it 3-0 in the 34th minute, blasting into the roof of the net after a long throw-in had been blocked on the line by Lucas Pires.

However, the Burnley fightback began in first-half stoppage-time when Michael Kayode turned Jaidon Anthony's low drive into his own net.

Kayode deflected another Anthony strike past Hakon Valdimarsson 78 seconds after the break, before Zian Flemming completed the comeback on the hour mark when he nodded home Hannibal Mejbri's deep cross.

Flemming thought he had put the hosts 4-3 to the good as he scrambled the ball home in the 79th minute, but Anthony was deemed to be offside during the build-up after a video assistant referee (VAR) review.

Brentford regained its lead in the 93rd minute when Damsgaard calmly slotted home, but Scott Parker's Burnley side was denied a last-gasp equaliser after another VAR review, which penalised Ashley Barnes for an accidental handball before he volleyed into the net.

"It was heartbreaking for us really, because we deserved [a point]," Parker said. "Second half, we were incredible. To score five goals in 60 minutes, it's full credit to us really.

"VAR and the fine margins of technology to the inch of a sleeve calling something offside is the game of football we live in now. So we accept that. That's the way it is.

"I don't think I can remotely even contemplate speaking about the negatives really. The positives in terms of our reaction, three goals down, the fight, the spirit to get back into the game, two goals disallowed by the finest of margins were defining for us.

"The emotion I feel now is a little bit sad for the players. I'm immensely proud of this group. The adversity we faced. We gave ourselves an absolute mountain to climb, and that mountain was as big as Mount Everest. I thought we were superb, so I'm immensely proud.

"If ever there is a game we look back on, it'll be this game. The fine margins. An offside, which is absolutely minimal. A handball, which I've not seen, but if it is in the law, a handball is a handball. That's the way the game is, we're looking at perfection in every game."

Brentford boosted its European hopes after sparing its blushes to move within five points of the UEFA Champions League places.

"For sure [that was one of wildest games I've seen]. It had a bit of everything, I suppose," Bees boss Keith Andrews said. "Neutrals will be very pleased. Far too much drama for my liking.

"I have to say, I thought the grit and character we showed to get the result was not surprising, but very pleasing to see.

"Ultimately, you have to have trust in the players you have, and I do have trust. I've said to the players we need to learn from it. We've grounded it out, and that's a new learning curve.

"I'm well aware of what Burnley are capable of. I always knew it would have been a difficult game. Would I have taken 4-3 before the game? Absolutely, for sure."