The Whites took an early lead through Rodrigo Moreno, but hearts sank around Elland Road late on as Kenny McLean equalised for the visitors.
But there was a twist in the tale, as youngster Joe Gelhardt sparked wild scenes from the home fans, as he fired home the winner in the fourth minute of added time.
Speaking after the game, Whites goalkeeper Illan Meslier, who has made more saves than any other top tier goalkeeper so far this season, said: “It's true. (I made a match-winning save late on). In one of the last balls there was a flick on from the keeper in the box and a difficult ball and finally I stayed big.
“No 22 - Pukki - shot and I saved it with my face. I don't care if it's the hands, the face, the chest, it's a save, this is what's important!”
“It was an unbelievable game. Honestly, it was crazy because we scored in the first half but after they equalised and at the end you think oh no this is not possible but at the end when Joffy (Gelhardt) scored it was just unbelievable.
“It was like a volcano eruption. It was fantastic.”
Next up, the Whites take on Wolverhampton Wanderers on Friday night, in what should be an enthralling clash at Molineux.
Take a look at the latest news and transfer stories from the Premier League, as the reaction to last weekend's action continues.
7. Magpies target could leave this summer
Sporting CP boss Ruben Amorim has hinted that star man Matheus Nunes could leave this summer. The Newcastle United linked ace, who is valued at around £36m, is a highly regarded box-to-box midfielder. (O Jogo) | AFP via Getty Images
8. Coutinho race hots up
Arsenal have emerged as contenders to sign Aston Villa loan star Philippe Coutinho this summer, as questions remain over whether they could afford the Barcelona man’s hefty salary demands if they signed him permanently. (Sport) | Getty Images
9. Magpies could spend big to nab Nunez
Reports have suggested that Newcastle United could be ready to offer £60m to sign Benfica striker Darwin Nunez, as they looks to beat the likes of Brighton and West Ham to the star. He’s scored 20 goals in 22 league games so far this season. (Mirror) | AFP via Getty Images
10. Red Devils join Raphinha race
Manchester United are said to have entered the race to sign Leeds United star Raphinha, alongside Barcelona and Chelsea. The Whites signed the player for £17m back in 2020, and he’s gone on to become a sensation for both club and country. (Sport Witness) | AFP via Getty Images