Aston Villa were crushed 6-1 by Southampton but joined Leicester City in celebrating Premier League survival on Saturday while Steven Gerrard's farewell party was spoiled as Liverpool lost 3-1 to Crystal Palace.
Second-half goals from Willian and Diego Costa helped Chelsea ease past Hull City 2-0 on Saturday and grab their first win in four Premier League games.
Luis Suarez marked his return to Premier League action with two goals to help Liverpool to a 3-1 win at managerless Sunderland that lifted them to second in the table on Sunday.
Sergio Aguero struck twice as Manchester City came from behind to beat Burnley 2-1 at Turf Moor in the Premier League on Saturday.
Following is a match by match look at the English Premier League's season-opening weekend fixtures:
Manchester City's all-conquering season reached new peaks as Sergio Aguero became the club's all-time top scorer with a decisive goal in a thrilling 4-2 victory at Napoli that put them into the Champions League last 16 on Wednesday.
What a difference an international break makes. Before Europe's top domestic leagues were interrupted by players jetting off around the world to play for their countries, Manchester United's supposed new dawn under Louis van Gaal was obscured by dark clouds.
Manchester City made sure of third place in the Premier League when they romped to a 5-0 win at Watford on Sunday to ensure a Champions League berth for next season.
IMAGES from the Champions League matches played on Tuesday
The mesmerising moments that made the 2018 FIFA World Cup a blockbuster worldwide.
Can 2018 top its predecessor in Sporting Glory?
City are 18 points clear of second-placed Liverpool after beating Chelsea 1-0 at the Etihad Stadium on Sunday and need just four wins from their final nine games to be sure of the title.
Tottenham Hotspur's tenacious chase of leaders Chelsea continued as they claimed a 12th consecutive Premier League home win with a 4-0 rout of Bournemouth on Saturday to cut the gap to four points.
Robert Lewandowski scored a brilliant free kick to give Bayern Munich a 1-0 win over Atletico Madrid in their last Champions League Group D outing on Tuesday, ending the 100 percent record of their opponents. The Poland international curled the ball over the wall and into the corner of the net in the 28th minute but the goal had no impact on the final standings with Atletico guaranteed top spot and Bayern in second place.
An inexperienced Germany suffered an embarrassing 3-1 defeat to Slovakia in a storm-affected friendly ahead of Euro 2016.
Images from the European World Cup qualifiers played on Thursday
Jose Mourinho got the better of old adversary Arsene Wenger once again as Chelsea showed their strength-in-depth by reaching the League Cup quarter-finals with a 2-0 win over London rivals Arsenal on Tuesday.
Sukanya Verma shares her exciting filmi week with us.
Images from the Champions League matches played on Tuesday
Manchester City's Sergio Aguero scored a hat-trick as coach Pep Guardiola maintained his 100 per cent record at the club with a commanding 4-0 victory against Borussia Moenchengladbach in their rearranged Champions League Group C opener on Wednesday.
The 20-time English Premier League champions are far from their best, but, in the final analysis, it is the results that matter, and at the moment they are on a winning spree, says Bikash Mohapatra
'I always used to say ignore the trolls and move on and focus on your fans and friends,' Sreenath Sreenivasan tells Rediff.com's Monali Sarkar. 'That was easy for me to say. But now when I say it, I really mean it.'