They both trailed 1-0 at halftime but Sergio Aguero’s 70th-minute equaliser and Kyle Walker’s late winner earned champions City a 2-1 home victory over a gritty Southampton side.

Liverpool left it even later. When Walker’s goal went in at the Etihad Stadium they were still trailing 1-0 at Aston Villa, for whom Trezeguet scored his first goal for the club.

Juergen Klopp’s side were staring at their first league defeat for 10 months and having their lead halved but Andy Robertson headed them level.

In the fourth minute of stoppage time Sadio Mane then glanced Trent Alexander-Arnold’s corner past Tom Heaton to send the visiting fans into delirium.

Tammy Abraham scored early on and created a second goal for Christian Pulisic after the break as Chelsea beat bottom side Watford 2-1 at Vicarage Road, despite a superb display by Ben Foster between the posts for the home side.

Manchester United’s revival ground to a halt as they went down 1-0 at Bournemouth — Joshua King’s goal just before halftime sending the south coasters above United into seventh.

Arsenal squandered a home lead for the second successive week. Pierre-Emerick Aubameyang gave Arsenal a first-half lead but Raul Jimenez earned Wolverhampton Wanderers a 1-1 draw.

Sheffield United’s impressive return to the top flight continued as they crushed Burnley 3-0, with John Lundstram’s first-half double putting them in charge.

Brighton & Hove Albion won a third successive home league game, beating struggling Norwich City 2-0.

Newcastle United held on for a 3-2 win at West Ham United. Goals from Ciaran Clark, Federico Fernandez and Jonjo Shelvey put Newcastle 3-0 up but they survived a nervous finale as Fabian Balbuena and Robert Snodgrass struck for the hosts who are now without a league win in five matches.

to prove every week that I deserve to be in the starting line-up,” Pulisic said after the game.

Watford nearly snatched an unlikely point as Gerard Deulofeu scored a late penalty and Foster almost headed home a late free kick as the Hornets threw everybody

Cenk Tosun’s header in the eighth minute of stoppage time earned Everton a 1-1 home draw against Tottenham Hotspur in a Premier League match overshadowed by a terrible-looking injury to Everton midfielder Andre Gomes on Sunday.Dele Alli’s goal after a mistake by Alex Iwobi just past the hour mark appeared to have ended Tottenham’s long wait for a Premier League away win but a drab match turned sour for both teams.

Spurs were reduced to 10 men in the 79th minute when Son Heung-min’s tackle on Gomes resulted in the Portuguese midfielder suffering what looked to be a bad leg injury.

Tottenham are still without an away league win since January and are in 11th spot, 10 points behind fourth-placed Chelsea.

Everton are in 17th spot, three points above the drop zone, after only one win in their last seven league matches.

Leicester City underlined their Premier League top-four credentials as goals by Caglar Soyuncu and Jamie Vardy sealed a clinical 2-0 victory at Crystal Palace on Sunday.

Soyuncu, who has replaced centre back Harry Maguire this season, broke the deadlock when he headed in James Maddison’s 57th-minute corner for his first Leicester goal.

Leicester never looked like relinquishing their lead and Vardy added some late gloss with his 10th goal of the season.

As impressive as last week’s 9-0 win at 10-man Southampton was, Sunday’s display was perhaps more meaningful in terms of Leicester’s ambitions this season.

Palace could have gone fifth with a win but Leicester were in control throughout and thoroughly deserved a third successive league victory to put them back above Chelsea into third place on goal difference with 23 points from 11 games.

They are only two points behind champions Manchester City, who are in second place, and six above fifth-placed Arsenal.

What is more, in terms of Premier League wins since Brendan Rodgers took over after the sacking of Claude Puel eight months ago, only Liverpool and Man City have won more league games.