Rui Patricio saved three penalties as Wolverhampton Wanderers defeated English Premier League champions Manchester City to claim the Premier League Asia Trophy 3-2 in a penalty shootout.
Sergio Aguero and Kevin De Bruyne put on an attacking masterclass to help City rout Leicester City 5-1.
All players in EPL had "Black Lives Matter" on their shirts instead of their names in the opening round of games and they have continued to take a knee before kick-off in support of BLM.
City, who have dished out a string of maulings in a stellar league campaign, found the Championship side a tough nut to crack and had to wait until the 92nd minute to grab the winner when Argentine substitute Aguero darted in to head home.
Manchester United manager Jose Mourinho has dismissed speculation about his future at the Premier League club, saying he would like a long-term stay at Old Trafford provided the team's owners are happy with his input.
Robert Lewandowski's hat-trick helped give coach Carlo Ancelotti a flying start to his first Bundesliga campaign as Bayern Munich cruised to an easy 6-0 win over Werder Bremen at the Allianz Arena on Friday.
Real Madrid will be without forward pair Cristiano Ronaldo and Gareth Bale, midfielder Toni Kroos and defender Pepe for Tuesday's UEFA Super Cup encounter with Sevilla in Trondheim, Norway.
Given the improvements at Chelsea and Arsenal, it will still be a significant achievement for United to secure a top four finish and in the Champions League, a decent run in the knockout stages would also be a sign of progress.
For the first time in 10 years, four English clubs have reached the quarter-finals of the Champions League
A summary of Sunday's action in the Premier League.
Pep Guardiola claimed his maiden English silverware as his side thrashed Arsenal 3-0 in the League Cup final with Sergio Aguero, Vincent Kompany and David Silva all on target in a disappointingly one-sided showpiece on Sunday.
Manchester United completed their first home and away Premier League double over Manchester City since the Alex Ferguson era with a 2-0 victory at Old Trafford on Sunday.. Earlier, two goals in each half from a rampant Chelsea earned them a 4-0 victory over Carlo Ancelotti's Everton, cementing their place in the Premier League's top four.
Liam Delap, the son of former Stoke City defender Rory, scored the opener for Pep Guardiola's side in the 2-1 win at the Etihad Stadium
A summary of Sunday's action in the Premier League.
German champions Bayern Munich sacked coach Carlo Ancelotti on Thursday, a day after they suffered a crushing 3-0 defeat to Paris St Germain in the Champions League.
Images from Saturday's action in the English Premier League.
Robert Lewandowski and Arjen Robben struck twice apiece as champions Bayern Munich annihilated promoted Paderborn 6-0 on Saturday to open an 11-point lead at the top of the Bundesliga.
Talking points from this weekend's Premier League action as top two Manchester City and Liverpool both won with City remaining a point clear with two games remaining.
Seconds after Bournemouth had a chance to snatch victory the ball went back down the other end and Sterling's deflected shot looped past helpless Bournemouth keeper Asmir Begovic.
Manchester City's stellar season gathered yet more momentum as the runaway English Premier League leaders reached the League Cup semi-finals with a penalty shootout victory at Leicester City.
Manchester City keeper Willy Caballero's penalty shootout heroics sealed a League Cup final win against Liverpool.
Leicester City's Premier League title defence got off to a terrible start as they were beaten 2-1 at promoted Hull City, who shrugged off an injury crisis to shock the champions on the opening day of the new season on Saturday
Manchester City's eight point advantage after 11 games is leading to talk of the Premier League title race being over in November, but as Manchester United manager Jose Mourinho noted - English football has a habit of throwing up surprises.
IMAGES from the English Premier League match played between Everton and Manchester City on Wednesday
For the only eighth time in Premier League history, the title will be decided on the final day
Manchester City moved 11 points clear at the top of the English Premier League after a last-gasp goal from Rodri gave them a 2-1 victory at fourth-placed Arsenal on Saturday in a controversy packed game at the Emirates stadium.
This time Liverpool are at home, and victory would put them nine points clear.
Former Arsenal star Alexander Hleb says he made a mistake by leaving the Emirates to join Barcelona in 2008, and expressed regret at turning his back on managerial 'great' Arsene Wenger.
Roundup of Champions League matches played on Wednesday night
Pep Guardiola says Manchester City are not yet ready to compete with Europe's elite but his side will be confident of opening their Champions League campaign with victory over Borussia Moenchengladbach on Tuesday.
Manchester United held on for a goalless draw in a feisty derby with Manchester City after midfielder Marouane Fellaini was sent off for a headbutt in the Premier League clash at the Etihad Stadium on Thursday.
Riyad Mahrez struck twice as Manchester City reached the Champions League final for the first time thanks to a 2-0 victory over Paris St Germain at the Etihad Stadium on Tuesday that secured a 4-1 aggregate win.
Guardiola said City had plenty of options, with Gabriel Jesus the only main striker fit and ready but Ilkay Gundogan and Raheem Sterling are able to slot into the role.
United looked more solid after the introduction of midfielder Nemanja Matic at the break and got a foothold in the tie through a 70th-minute goal from Marcus Rashford.
Chelsea will pay 30 million euros ($33.54 million) for the player, three of which will be based on performance, the Spanish champions said on their website.
Images from the English Premier League matches played across England on Sunday.
Chelsea paid a heavy price for a 3-2 defeat at West Ham United as first Liverpool, then Manchester City, leapfrogged them in the English Premier League title race on Saturday, with City ending the day on top for the first time this season.
Images from the UEFA Champions League matches played on Tuesday night.
Premier League leaders Liverpool suffered 12 separate injuries this season to players that took part in last year's World Cup in Russia, compared to 27 for title rivals Manchester City, according to a report published on Wednesday.
Barcelona midfielder Xavi raised the King's Cup aloft alongside Andres Iniesta in his final appearance at the Camp Nou on Saturday and now victory in the Champions League would make it a perfect send-off for the club legend.