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.
West Ham United bounced back from conceding an early goal to beat Newcastle United 3-1 on Sunday.
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.
It was Leeds's first win in four league matches but for West Ham their worst start since 1973-74, when they had the same record after nine games.
Liverpool could be 14th in the table by the time they kick off at West Ham on Sunday afternoon and they will be desperate to steady the ship with three points.
Manchester United manager Ruben Amorim would have enjoyed some relative calm during the international break after backing from club co-owner Jim Ratcliffe but will find himself in the Premier League maelstrom once again at Liverpool on Sunday.
Erling Haaland took his league tally this season to 11 in eight games with both goals in City's 2-0 home win over Everton -- a result that temporarily put City above Arsenal on goals scored.
Arsenal's Calafiori secures 1-0 win at Manchester United; Crystal Palace hold Chelsea to 0-0 draw.
Newcastle United registered a 2-0 home win over Chelsea on Sunday that moves the Magpies a step closer to Champions League football next season.
Images from the Premier League match between Nottingham Forest and Crystal Palace at Selhurst Park, London, on Monday.
Nuno Espirito Santo's side took the lead after five minutes when a corner fell to Elliot Anderson on the edge of the area and his powerful deflected drive found the net.
City then comfortably closed the game out and victory in their record-extending seventh consecutive FA Cup semi-final means they will face Crystal Palace, who beat Aston Villa 3-0 on Saturday, in the final on May 17.
A round-up of Saturday's action in the English Premier League.
IMAGES from the Premier League matches played on Tuesday.
Champions Manchester City could only muster a 2-2 Premier League draw with Brighton & Hove Albion on Saturday.
IMAGES from the Premier League matches played on Saturday.
Images from Saturday's action in the Premier League.
Forest were good value for the win, though Ipswich came close to opening the scoring midway through the first half.
IMAGES from the Premier League matches played on Tuesday.
A summary of Thursday's action in the Premier League.
Round-up of matches from the opening weekend of the English Premier League 2024-25
IMAGES from the English Premier League matches played on Wednesday.
Arsenal closed the gap on leaders Liverpool with a 2-1 Premier League victory at Nottingham Forest
Third-placed Aston Villa are the surprise package of the season and Unai Emery's side face relegation-threatened Burnley while fifth-placed Spurs host a resurgent Bournemouth who have 19 points from their last seven games.
Liverpool moved back to the top of the Premier League with a 2-0 victory at struggling Burnley
Mason Greenwood's late winner earned Manchester United a 1-0 win at wasteful Wolverhampton Wanderers in the Premier League on Sunday, breaking the record for the longest unbeaten away run in English Football League history in the process.
Nuno's coaching staff have also been relieved of their duties. The club have not yet announced a replacement but British media reported former Chelsea and Inter Milan boss Antonio Conte is linked.
Images from the English Premier League matches played on Saturday, April 13.
Mumbai City FC lost 2-0 to Iranian Club Nassaji Mazandaran in their first AFC Champions League group stage game at home.
Liverpool snatched three points with a wild 1-0 victory over relegation-threatened Nottingham Forest.
Antonio Conte's increasingly fractious relationship with Tottenham Hotspur came to an end with the English Premier League club announcing they had parted ways with the Italian on Sunday.
Manchester City's Pep Guardiola was named Manager of the Year at a League Managers Association awards ceremony on Tuesday after leading his side to the Premier League title and a host of records.
Manchester City blew a two-goal lead and had Ederson sent off in a dramatic 3-2 defeat at Wolves on Friday.
Biotech company denies all charges.
Some banks have seen gross non-performing assets as high as 15 per cent in their education loan portfolios.
The Burman family is in talks to buy less than 26 per cent stake in Espirito Santo India.
The paper added that at least four managers as well as players from several teams could be affected.
Brazil's Olympic soccer team trained in the headlights of a lorry on Monday after the floodlights failed at their training ground, local news media reported.
The result gave West Brom a big boost in their bid to avoid relegation, as they moved to within three points of 17th place, albeit remaining stuck in 19th spot for now. Wolves stay in 14th place.
Images from Sunday's action in the Premier League.