Arsenal's title hopes suffer a blow with a home defeat to Bournemouth, while Liverpool strengthens their Champions League aspirations with a win over Fulham. Brentford and Everton draw in a battle of top-five contenders.
Manchester United defeated Aston Villa to strengthen their position in the Premier League top four, while Liverpool were held to a draw by Tottenham Hotspur.
Promoted Sunderland, who have defied expectations to stay in the top half of the Premier League table, could be the worst affected with six players going to the tournament, while the likes of Fulham, Manchester United, Burnley and Crystal Palace will also have to make do without some key personnel.
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.
A late penalty from new signing Lukas Nmecha earned promoted Leeds United a hard-fought 1-0 victory over Everton in their first match back in the Premier League.
Everton have filed an appeal against their 10-point deduction by the Premier League, the club said on Friday.
Manchester United loosened Arsenal's grip on the Premier League title race with a 3-2 win in north London on Sunday.
Manchester City's title hopes take a hit after a dramatic 3-3 draw with Everton, with Jeremy Doku's late goal rescuing a point as Arsenal maintain the advantage.
Tottenham Hotspur's 2-1 defeat at Chelsea has increased their risk of Premier League relegation, while Chelsea's victory boosts their chances of European qualification.
Fresh off a dominant title-winning campaign, Liverpool kick off the new Premier League season on Friday as the team to beat, as the Reds have transitioned from Juergen Klopp's high-octane chaos to a more measured possession-based style under Arne Slot.
Liverpool edged closer to Champions League qualification with a 3-1 victory over Crystal Palace at Anfield on Saturday, but the result came with a sour note as Mohamed Salah went off with a suspected hamstring injury.
A summary of the concluding matches of the Premier League season on Sunday.
Wolverhampton Wanderers stun Liverpool 2-1 with a 94th-minute winner to revive survival hopes and dent the Reds' top-five push, while Everton and Sunderland claim crucial Premier League victories.
Manchester United defeated Nottingham Forest 3-2 at Old Trafford as Bruno Fernandes equalled the Premier League assist record and Michael Carrick moved closer to securing the manager's job permanently.
Arsenal cleared arguably the most dangerous remaining obstacle in their path to the Premier League title by the skin of their teeth as Leandro Trossard's late goal secured a dramatic 1-0 win at West Ham United to restore their five-point lead on Sunday.
Benjamin Sesko came off the bench to score the winner as Manchester United beat Everton 1-0 in the Premier League, strengthening their hold on fourth place under Michael Carrick.
Arsenal secured a 1-0 victory over Atletico Madrid, winning 2-1 on aggregate, to reach the Champions League final for the second time in their history. Bukayo Saka's goal proved decisive in a tense semi-final clash.
IMAGES from Premier League matches played on Sunday.
Manchester City defeated Brentford 3-0, closing the gap on Premier League leaders Arsenal. Liverpool drew with Chelsea, while other key Premier League results impacted European qualification hopes.
Manchester City defeated Arsenal in a crucial Premier League match, while Liverpool secured a late win against Everton. Nottingham Forest also claimed a significant victory against Burnley.
Mikel Arteta insists the Premier League title race "starts again" after Arsenal's 2-1 loss to Manchester City, with five games left and everything still to play for.
Wayne Rooney urged Arsenal FC to allow teenager Max Dowman to enjoy his moment after he became the youngest goalscorer in Premier League history at 16.
Everton enjoyed their first Premier League win at Manchester United for 12 years despite playing virtually the entire game with 10 men.
Arsenal moved to the top of the Premier League with a comfortable 3-0 win over Fulham on Saturday, extending their lead in the title race.
West Ham draw 0-0 with Crystal Palace to stay just above the relegation zone, while Wolves are officially relegated from the Premier League after a poor season.
Urban Negi, a highly-rated nine-year-old Indian-origin footballer, has signed with Everton FC's Under-9 Youth Academy.
Manchester City climbed to the top of the Premier League after defeating Burnley 1-0, while Burnley's defeat confirmed their relegation.
Tottenham Hotspur missed a chance to move clear of relegation danger after Dominic Calvert-Lewin earned Leeds United a 1-1 Premier League draw in North London.
The latest figures have shown that Everton manager David Moyes is the best value-for-money as the football boss.
Spanish striker Michu hit his fourth goal in three league games but Swansea City missed the chance to top the fledgling Premier League standings after the Welsh side were held 2-2 at home by Sunderland on Saturday.
Arsenal teenager Max Dowman made Premier League history by scoring at 16 years and 73 days in a 2-0 win over Everton, becoming the youngest scorer in the competition.
England manager Thomas Tuchel made several bold selection calls for the World Cup, leaving out Phil Foden, Cole Palmer and Harry Maguire while recalling Ivan Toney and backing a new-look squad built on chemistry and trust.
Upcoming matches in the English Premier League.
Arsenal edged past Crystal Palace on penalties on Tuesday to reach the semi-finals of the League Cup.
Chelsea manager Liam Rosenior has dropped Enzo Fernandez for two matches after the midfielder publicly cast doubt over his future at Stamford Bridge.
English Premier League matches between Saturday, October 3 and Tuesday, October 6.
Attendances at Premier League games are down by an average of 920 fans per game this season, according to an investigation by the Daily Telegraph.
Arsenal moved nine points clear in the Premier League after beating Everton 2-0 as 16-year-old Max Dowman became the youngest scorer in league history, while Manchester City dropped points at West Ham.
Manchester United take on Everton at home in the last match of Saturday's programme.