Lyle Foster struck a dramatic winner five minutes into second-half stoppage time as Burnley earned a 3-2 victory over beleaguered Wolverhampton Wanderers at Molineux.
Jeers rained down from the home fans when Zian Flemming scored twice to put Burnley 2-0 up within the first 30 minutes.
But Jorgen Strand Larsen converted from the penalty spot, and Marshall Munetsi beat Martin Dubravka with a glancing header as Wolves got back on level terms late in the first half.
Wolves looked the more likely victors for much of the second half, with Jhon Arias rattling the woodwork from a free-kick, but with the full-time whistle looming, substitutes Hannibal Mejbri and Foster combined to strike a huge blow to Vitor Pereira's men.
Wolves remain bottom of the table with two points, still without a win this season and eight behind Burnley, who are 16th, five clear of the relegation zone.
How the match unfolded
After Burnley goalkeeper Dubravka twice denied Rodrigo Gomes, Burnley went ahead in the 14th minute. Quilindschy Hartman's over-the-top pass was met first time by Flemming, and it squirmed beyond Wolves 'keeper Sam Johnstone.
Flemming scored again on the half-hour mark, tapping home after Hartman peeled around the back post to knock Josh Cullen's pass across goal.
Wolves got a lifeline 12 minutes later as Cullen kicked through the back of Santiago Bueno in the area, allowing Strand Larsen to convert coolly from the penalty spot.
And Burnley were stunned as their lead was wiped out four minutes into first-half stoppage time, with Munetsi nodding home after Ladislav Krejci acrobatically turned Jean-Ricner Bellegarde's cross into his path.
Wolves spent much of the second half on the front foot, with Arias going agonisingly close when his free-kick struck the corner of the woodwork and bounced to safety off Dubravka.
Bellegarde and Gomes both went close, but Burnley stole victory at the death, with Foster latching onto Hannibal's pass to poke home.
Wolves reach crisis point
Coming out of the international break, Wolves would have seen back-to-back games against promoted duo Sunderland and Burnley as an opportunity to finally get their season up and running.
But a meek 2-0 defeat at the Stadium of Light piled further pressure on head coach Pereira, who admitted Wolves were in must-win territory ahead of this game.
Some dismal defending gave them a mountain to climb early on, with Krejci nowhere to be seen for Flemming's opener before he was shrugged off all too easily for Burnley's second goal.
Wolves' centre-backs were then surprise contributors in attack as they fought back. Bueno popped up inside Burnley's area to win their first Premier League penalty since April 2024, while Krejci played a similar role to assist Munetsi's equaliser.
A Wolves onslaught was expected in the second half, but in truth, it did not arrive until the final 10 minutes, and after Bellegarde turned the ball over in a dangerous area, Foster made no mistake.
There was still time for Bueno to draw a reflex save from Dubravka, but the reaction of Wolves' home fans at full-time told the story of a team whose season is spiralling out of control. They host Chelsea in the EFL Cup next, before visiting Fulham in the Premier League.
Clarets buoyed by Molineux sucker punch
Unlike Wolves, Burnley did get a confidence-boosting victory over another of the promoted teams last time out, with some excellent defending helping them to beat Leeds United 2-0.
But the Clarets took a front-foot approach in the early stages at Molineux and were rewarded with a two-goal cushion.
They actually had chances to pull further clear, as Jacob Bruun Larsen drew one heroic challenge from Hugo Bueno on the right side of the area, while also failing to profit from a mix-up between Johnston and Krejci.
With the crowd on Wolves' backs and momentum with the visitors, Burnley looked to be in cruise control, only for a careless piece of defending from Cullen to kickstart Wolves' fightback.
The half-time whistle came at a good time for Scott Parker's team, but they regrouped well after the interval and took their chance when it arrived, with Foster prodding past Johnstone after Hannibal's pass split the Wolves defence.
Even at this early stage of the season, these three points could be huge for the Clarets, who now have a buffer to the bottom three after earning their first away win of the campaign, ahead of hosting leaders Arsenal next week.
Club reports
Wolves report | Burnley report
What the managers said
Vitor Pereira: "A lot of frustration because we have worked a lot on the pitch to win the game, but football is football and sometimes it is very unfair.
"We need to understand that we lost this battle but the next game is another battle. The three points would be very important for us to give confidence. We will keep working to be better in the next game."
Scott Parker: "It was dramatic at the end and I am ecstatic with the result. The game started incredibly for us with some huge quality in how we played. The Premier League can do that to you sometimes, and we were disappointed to come in 2-2 at half-time.
"At the end, a bit of quality gets us the winner. An incredible finish from Lyle [Foster] and the assist from Hannibal - the weight of the pass and detail."
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Key facts
After losing this match, Wolves have become just the third side in English top-flight history to fail to win each of their opening nine games of a league season in consecutive campaigns after Bury in 1904/05 and 1905/06 and Sunderland in 2015/16 and 2016/17.
Burnley have now won successive Premier League games for the first time since April 2022 – a three-match run which also included victory over Wolves.
Burnley have conceded more goals in the Premier League this season (17) than across the whole of the 2024/25 Championship campaign combined (16).
In this match, Zian Flemming became the first Burnley player to score more than once in a Premier League away game since Maxwel Cornet at Southampton in October 2021.