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.
Bengaluru FC and NorthEast United FC played a 1-1 draw in their Indian Super League match.
Man City snatch chaotic 2-1 win at Liverpool to stay on Arsenal's heels
IMAGES from the UEFA Champions League matches played on Wednesday.
With 17 goal attempts compared to Chelsea's 10, Arsenal will feel they should have gone home with a bigger margin of victory and it will be all to play for in north London on February 3.
Non-league Macclesfield produced perhaps the FA Cup's greatest upset on Saturday when they beat holders Crystal Palace 2-1 in a thirdround thriller, knocking Oliver Glasner's team out of the competition and sending the Moss Rose crowd into raptures.
After Saturday's 2-1 win at Chelsea - their 12th in 13 league matches - Aston Villa have claimed 18 points from losing positions so far this season, more than any other team.
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.
Manchester City gave Kevin De Bruyne a victory in his final appearance at Etihad Stadium, as Omar Marmoush scored a stunner in a 3-1 Premier League win over Bournemouth on Tuesday that saw them climb to third in the table.
Captain Kevin De Bruyne scored in his penultimate game at Etihad Stadium as Manchester City beat Wolverhampton Wanderers 1-0 on Friday to climb to third in the Premier League and boost their chances of Champions League qualification.
Mumbai City FC (MCFC) defeated local favourites Mohammedan Sporting 3-1 in the Durand Cup at the Kishore Bharati Krirangan in Kolkata on Saturday.
Indian club East Bengal produced an utterly dominant show to crush Bangladesh's Bashundhara Kings 4-0 in their AFC Challenge League match in Thimphu on Tuesday.
Images from Sunday's action in the Premier League.
English Premier League champions Manchester City beat FA Cup winners Manchester United 7-6 on penalties to win the Community Shield.
Images from Saturday's action in the Premier League.
City having already bagged the title and Newcastle safe, there was nothing riding on the fixture but it served up some rich entertainment
Manchester City will take a 4-3 lead into the second leg of their Champions League semi-final against Real Madrid after an extraordinary game at the Etihad Stadium on Tuesday.
Images from the English Premier League matches played on Saturday.
Cassio Gabriel, Bipin Singh, Igor Angulo and substitute Ygor Catatau were on the scoresheet for the ISL leaders.
Manchester City's quadruple bid remained intact as Ilkay Gundogan and Kevin de Bruyne secured a 2-0 win at Everton in their FA Cup quarter-final clash
Holders Manchester City beat Chelsea 1-0 with a late Bernardo Silva goal on Saturday to reach the FA Cup final after an absorbing end-to-end Wembley semi-final left the exhausted winners still chasing a domestic double.
ManchesterCity beat Liverpool 3-1 on penalties to win the League Cup after Sunday's final finished 1-1 after extra time.
Shubman Gill met some of Manchester City's treble winning stars during their open-top bus parade in Manchester on Monday.
Liverpool reclaimed top spot in the Premier League with a 3-1 win over Burnley at Anfield on Saturday, but they were made to battle hard by a brave visiting side.
Sergio Aguero struck twice as Manchester City moved into second place in the Premier League, two points behind leaders Liverpool, with a 3-1 win at Bournemouth on Sunday. Just three weeks into the new season and last year's top two clubs are already perched at the top of the table.
Manchester City continued their imperious stranglehold over the League Cup with a 2-1 victory over Aston Villa with goals from Sergio Aguero and Rodri in the final at Wembley on Sunday to win the trophy for a third straight season. City became the first side to win the competition three seasons in a row since Liverpool claimed four straight titles from 1981 to 1984.
Manchester City struck an early blow for the forthcoming Premier League campaign as they beat Liverpool on penalties to win the Community Shield at Wembley on Sunday after an absorbing contest had finished 1-1.
Now only Inter stand in the way of a treble that would match Manchester United's still unique feat of 1999.
City remain in 12th place, on 45 points, behind Southampton on goal difference.
Antoine Griezmann and Samuel Lino scored in each half to give Atletico Madrid a 2-0 win over Lazio on Wednesday that secured them top spot in Champions League Group E, the first time since 2016 that they had reached the knockouts as group winners.
Manchester City's failure to find a big-name signing appeared to matter little as they began the new season with a 3-2 win over 10-man Chelsea in the Community Shield on Sunday.
City fans were in dreamland after their side finally lifted the Champions League trophy
Manchester City won the English League Cup for the second successive season as the beat Chelsea 4-3 in a penalty shootout after the Wembley showpiece had ended 0-0 after extra time.
City completed the treble of Champions League, Premier League and FA Cup titles, matching Manchester United's feat in 1999 and drawing comparisons with Guardiola's 2008-09 Barcelona team.
Defensive mistakes cost Bengaluru dear and helped Mumbai's cause
Images from the English Premier League matches played on Saturday.
Manchester City inched closer to their treble as they downed Manchester United in the FA Cup final on Saturday.
Images from the English Premier League matches played on Monday
Alvaro Negredo and Sergio Aguero combined to help ManchesterCity bounce back from their Bayern Munich mauling by beating Everton 3-1 at the Etihad Stadium in the Premier League on Saturday.