SWANSEA, England — Bob Bradley celebrated his first win as Swansea manager when Fernando Llorente's stoppage-time double clinched a wild 5-4 victory over Crystal Palace in the English Premier League on Saturday.

Swansea led 3-1 with 15 minutes to go but faced a sixth successive winless game after going 4-3 behind by conceding three goals in nine minutes.

The comeback ended Bradley's wait for a Premier League win but Palace manager Alan Pardew was condemned to a sixth loss in a row.

"The character of the players shone through," said Bradley, the former U.S. coach who took charge in October.

"It has been a difficult season and a lot of things have not bounced the right way. But we still show up every day with a great mentality, and I couldn't be happier for that group."

Swansea climbed off the bottom of the 20-team standings and Palace is two points ahead in 16th.

It started so well for Palace as Swansea's aerial struggles were exposed against the powerful Christian Benteke.

He nodded the ball down into the path of Wilfried Zaha, who made the most of timid defending from Neil Taylor and Federico Fernandez to fire his fourth goal of the season past goalkeeper Lukasz Fabianski.

But the mood changed inside Liberty Stadium when Jason Puncheon was adjudged to have fouled Jack Cork on the edge of the penalty area. Gylfi Sigurdsson struck a terrific free kick past Wayne Hennessey to equalize in the 36th.

It was a lifeline for Swansea as the host rarely threatened up until that point, but it almost threw it away two minutes later when Zaha headed Yohan Cabaye's cross against the crossbar before the ball was bundled to safety.

After the break, Palace forward Connor Wickham was taken off on a stretcher with what appeared to be a knee injury.

The London club was being pushed back as Sigurdsson and Modou Barrow became increasingly influential and Swansea took the lead in the 66th.

Substitute Llorente's first touch proving crucial after heading toward the goal. Although Yohan Cabaye stopped the ball on the line with the possible use of an arm, Leroy Fer was primed to squeeze home the rebound. Two minutes later Palace struggled to cope with another set-piece and Fer finished again at the far post for his sixth goal of the season.

But Palace gave itself a lifeline when James Tomkins bundled home before Zaha's cross struck Cork and looped over Fabianski. Palace surged back in front when Benteke found the net off a post in a crowded goalmouth.

But Swansea was not finished yet and Llorente diverted home a shot from Sigurdsson before prodding in the winner.

"I see the win as a turning point in so many ways," Bradley said. "Sometimes you feel like you need something crazy and maybe (this game) can be that moment.

"Having said that, we cannot take the good part without looking a little deeper. After all, you won't win matches like that every day."