Manchester City defeated Salford City in the FA Cup, while Burnley suffered a surprising defeat to Mansfield Town. West Ham United and Norwich City also secured victories in their respective matches.
City, Liverpool all cruise in respective FA Cup matches played on Saturday.
Goals from Omar Marmoush and Antoine Semenyo powered Manchester City to a muchneeded 20 home win over Wolverhampton Wanderers on Saturday, lifting Pep Guardiola's men provisionally to within four points of leaders Arsenal in the Premier League title race.
Arsenal seized control of the Premier League title race as Bukayo Saka's goal secured a priceless 1-0 win at Brighton and Hove Albion and Manchester City could only draw 2-2 at home to relegation-threatened Nottingham Forest.
Manchester United's Benjamin Sesko scoring a stoppage-time equaliser to deny 18th-placed West Ham United a 1-0 win.
Arsenal extends its lead in the Premier League, while Manchester United strengthens its top-four bid. Chelsea's Cole Palmer shines with a hat-trick, and West Ham earns a crucial win in their fight against relegation.
Manchester City climbed back to the top of the table with a ruthless 3-0 dismantling of West Ham United on Saturday, as Erling Haaland bagged a double to top Cristiano Ronaldo's Premier League goals tally in less than half the time.
Chelsea battled from two goals down to beat West Ham 3-2 in the Premier League on Saturday with a stoppage-time Enzo Fernandez winner.
IMAGES from the EPL matches played on Sunday
IMAGES from Premier League matches played on Saturday
Graham Potter is in talks to replace Lopetegui, according to British media reports, and the former Chelsea and Brighton & Hove Albion manager is expected to take charge of West Ham for their FA Cup third-round game at Aston Villa on Friday.
Jarrod Bowen converted a last-gasp penalty to lift West Ham United to a 2-1 Premier League victory over Manchester United in a fluctuating clash between two struggling sides on Sunday.
Leeds reach Championship play-offs final with 4-0 win over Norwich
IMAGES from the Premier League matches played on Saturday.
A summary of Saturday's action in the English Premier League.
IMAGES from the Premier League matches played on Saturday.
Marcus Rashford and Alejandro Garnacho earned Manchester United a hard-fought 2-0 win
Images from Saturday's action in the English Premier League.
Images from the English Premier League matches played on Saturday
Arsenal's inability to kill off the contest will be a frustration as that has been a hallmark of their recent form. They had won their previous 18 Premier League matches in which they scored first.
A round-up of Saturday's action in the Premier League.
A round-up of Saturday's action in the Premier League.
"The best team won, we struggled from the beginning and we couldn't deal with their long balls. Usually, you press the ball to win it, but this was different. They defended so deep and so well," City coach Pep Guardiola told the BBC.