Liverpool's Sadio Mane, right, celebrates with teammates after scoring his side's second goal during the English Premier League soccer match between Aston Villa and Liverpool at Villa Park in Birmingham, England, Saturday, Nov. 2, 2019. (AP Photo/Rui Vieira)

BIRMINGHAM – Premier League leaders Liverpool pulled off another extraordinary comeback to win 2-1 at Aston Villa on Saturday with late goals from Andy Robertson and Sadio Mane.

The result left Liverpool on 31 points, still six above Manchester City who won 2-1 at home to Southampton.

The Merseysiders had been heading for a first league defeat of the season thanks to a 21st minute goal by Villa winger Mahmoud Hassan, known as Trezeguet, who neatly fired home from a curling free kick by midfielder John McGinn.

But defender Robertson popped up in the 87th minute to meet a superb cross from Mane and steer the ball past goalkeeper Tom Heaton. Then Mane brilliantly headed in a corner during added time to send the travelling Liverpool fans into delirium.

Liverpool manager Juergen Klopp came onto the pitch at the end, hugging his relieved players in front of their supporters.

The result was harsh on promoted Villa, leaving them just three points above the relegation zone.

Despite missing talisman and captain Jack Grealish, they played with a surprisingly high tempo and pressed from the off. They could have been ahead within 60 seconds when Anwar El Ghazi fired straight at keeper Alisson Becker from close range.

But Liverpool, who also came back from a goal behind to beat Tottenham Hotspur 2-1 last week at Anfield, showed enormous self-belief and poured forward relentlessly in the second half.

Mane, booed every time he touched the ball after appearing to dive in the Villa penalty area, was Liverpool's driving force, missing a header in the first half then seeing Heaton save a couple of chances in the second prior to his winner.

"It was a perfect delivery from the corner and in the end I was even a bit lucky the ball went in," Mane said.

"Today was not our best performance but we deserved the three points ... Aston Villa have been the team that pushed us harder so far, that's why this is the best league in the world, every single game can be like this one."

Had they not won, Liverpool would have been seething at a first half decision by the Video Assistant Referee (VAR) system that ruled out a potential 28th minute equaliser by Roberto Firmino. The video showed it was a very tight decision.