Liverpool forward Sadio Mane scored his 100th goal for the club to help secure a 3-0 victory over lively Crystal Palace in the Premier League at Anfield on Saturday.

Mane turned the ball in from close range just before half-time as he claimed a Premier League record for the most consecutive goals against one club — his ninth in a row versus Palace. He has 10 in all competitions against the London club.

It was also Mane’s third goal in four Premier League games and his return to form has handed manager Juergen Klopp a timely boost in what is shaping up to be a tight title race.

Mo Salah and Naby Keita, with a superb volley, added late strikes to give the scoreline an emphatic look after the home fans had earlier been left aghast over forward Diogo Jota’s early contender for miss of the season.

Liverpool have 13 points from their opening five matches, though they have played a game more than most of their title rivals, while Palace are in 13th place with one victory so far in this campaign.

“It is one of the most hard-fought 3-0 wins ever. We had to give everything. Hard but fair challenges. Physicality was immense and we had to be ready,” Klopp told Sky Sports.

“We scored wonderful goals and used our set-pieces. It is massive in games like this.

These are the games you have to win, when you are not brilliant.

“We weren’t flying today. We had to grind out a proper performance. I liked it. When you look back you have these games when it was really fun. This is one of those important games.”

Mane brought up his century of goals for the Reds in all competitions, the 18th player to do so, when Salah’s header was pushed into his path by Palace keeper Vicente Guaita to give him an easy finish from close range after 43 minutes.

The goal followed a shocking miss by Jota from a similar situation as Thiago Alcantara’s header was only parried to the forward by Guaita but, with the goal at his mercy, the Portugal international blazed over the bar from all of two yards.

Salah killed off the contest in the 78th minute as Virgil van Dijk flicked on a corner and the forward supplied a neat finish.

But there was still time for Keita to add a magnificent third when he volleyed into the net from the edge of the box as the clock ticked into injury-time.

Man City held

Manchester City were held to a frustrating goalless draw at home by Southampton, despite being handed a reprieve when a VAR review led to a penalty and a red card for Kyle Walker both being overturned.

Kevin De Bruyne and Phil Foden were both summoned from the bench as City pressed for a winner, which they thought they had grabbed at the death through Raheem Sterling, but his effort was ruled out for offside.

The result means City fall three points behind Liverpool.

Odegaard winner

Martin Odegaard’s 30th-minute free kick earned Arsenal their second win of the Premier League season with a 1-0 victory over Burnley at Turf Moor on Saturday.

The Norwegian midfielder curled the ball beautifully into the top corner of Nick Pope’s goal, helping take Mikel Arteta’s side on to six points.

The Gunners had lost their opening three games of the season but broke that poor run with a win over Norwich City last week and they will now head into next week’s North London derby with Tottenham with some confidence.