Bukayo Saka scored either side of halftime as Arsenal crushed second-bottom Burnley 5-0.
Manchester United secured the point they needed to finish second in the Premier League with a dull 0-0 draw at West Ham United on Thursday.
IMAGES from the English Premier League matches played on Saturday.
IMAGES from the EPL matches played on Sunday
Chelsea won their first competitive match under coach Mauricio Pochettino with a 3-0 home victory over Premier League new boys Luton Town.
Holders Liverpool survived a penalty shootout to see off third-tier Derby County
Should Manchester United win their next two games, the gap will be cut to four points and while only a collapse of astonishing proportions would deny Manchester City the title.
Images from the English Premier League matches played on Saturday.
Manchester City manager Pep Guardiola joked that even winning the Champions League can't make up for Julia Roberts not visiting Manchester City in 2016.
West Ham United could face repercussions after several pitch invasions and ugly scenes in the stands during the second half of a crushing 3-0 home Premier League defeat by Burnley on Saturday.
Rangers joined Barca in the last eight despite losing 2-1 at Red Star Belgrade, progressing 3-2 on aggregate.
Man Utd sign Mount from Chelsea on five-year deal
Ronaldo enjoyed a dream first appearance on his return to the club, scoring two goals in the 4-1 home victory over Newcastle United.
Images from the English Premier League matches played on Saturday.
Images from Europa League matches played on Thursday.
Darwin Nunez came off the bench to score twice as Liverpool snatched a sensational 2-1 Premier League win at Newcastle United on Sunday.
Morocco were happy to allow Spain possession but in the end, were desperately hanging on for the shootout as they battled injury and fatigue and lived dangerously in the closing stages.
English Premier League leaders Manchester City and Chelsea slugged out a magnificent 4-4 draw at Stamford Bridge.
Images from the English Premier League matches played over the weekend.
Images from the English Premier League matches played on Sunday.
Cristiano Ronaldo has been voted Manchester United's Player of the Month for September by the club's supporters.
The three Premier League and three La Liga clubs in the last eight avoided each other, with Manchester City up against Atletico Madrid and Liverpool to face Portuguese side Benfica.
Eintracht Frankfurt beat 10-man West Ham United 1-0 in their Europa League semi-final
Images from Monday's action in the Premier League.
Arsenal struck two late goals to escape with a point in a pulsating 3-3 home draw with bottom club Southampton but their Premier League title hopes suffered another setback on a Friday night of frazzled nerves in north London.
Several Chelsea players have not returned for pre-season training after testing positive for COVID-19, according to reports in British media.
Manchester City clinched the Champions League title to seal their treble in a sensational season.
A summary of Saturday's action in the Premier League.
The Football Association will investigate reports of crowd trouble among West Ham United supporters at Saturday's Premier League game against Watford.
Images from Premier League matches played on Sunday.
Barcelona were held to a 0-0 home draw by Galatasaray in the first leg of their Europa League last-16 tie
Norwich had their game at West Ham United postponed due to COVID-19 cases, injuries and illness reported among players and staff, while Leicester had matches against Tottenham Hotspur and Everton postponed due to coronavirus cases among their players.
IMAGES from the Premier League matches played on Sunday.
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.
Crystal Palace captain Mile Jedinak was charged with violent conduct by the English FA on Monday for an apparent elbow to the head of West Ham United's Diafra Sakho.
A summary of Saturday's action in the FA Cup.
Champions Manchester City slipped to a shock first Premier League defeat of the season at Wolverhampton Wanderers on Saturday, while Manchester United's campaign of woe continued with a loss to Crystal Palace.
A summary of Wednesday's action in the Premier League.
Action from Europa League matches played on Thursday.
Arsene Wenger's final match at Old Trafford as Arsenal manager ended in defeat with a stoppage time header from substitute Marouane Fellaini earning the points for second-placed Manchester United.