Liverpool started the ball rolling with a convincing 4-1 win at home to promoted Norwich and City responded a day later with an even more emphatic 5-0 victory at West Ham United.
FA details Mourinho's expletive-laden rant at West Ham
'We lost two games but these two games were totally different. Against Crystal Palace we didn't deserve to lose. Today we deserved to lose the game'
A round-up of Saturday's matches in the English Premier League.
England centre back Gary Cahill is so frustrated by a lack of first-team football at Chelsea that he wants to leave the club in an attempt to safeguard his international place at the European Championship in the summer.
This and more from the happenings in the world of football
Chelsea play "ugly" football under Jose Mourinho and the Premier League's runaway leaders deserve to be branded as boring because of their refusal to attack teams, their former manager Ruud Gullit has said.
Chelsea manager Jose Mourinho believes that not having another international break until March will help his team recapture their best form after a woeful start to the season.
Images from the UEFA Champions League matches played on Tuesday night.
Chelsea wrapped up their pre-season tour of the United States on a high note by beating Barcelona in a shootout after their International Champions Cup match ended 2-2 on Tuesday.
Barcelona's Luis Suarez hit a brace and set up a double for a spritely Lionel Messi to score in his first start after injury in a rampant 6-1 Champions League victory over AS Roma on Tuesday.
IMAGES from soccer matches played in the EPL, La Liga and Serie A on Tuesday.
The fixture list suggests that Chelsea should still be able to finish above challengers Tottenham Hotspur. But strange things can happen when the pressure reaches it's greatest intensity and here was certainly something strange about Chelsea at Old Trafford on Sunday.
Tottenham Hotspur's status as Premier League title chasers was seriously harmed on Saturday as they fell to a first defeat in seven league games, losing the lead to go down 3-1 at home to Wolverhampton Wanderers.
A goal in added time by Diego Costa earned Chelsea a 1-1 draw against Manchester United on Sunday and preserved Guus Hiddink's unbeaten record while denying Dutch compatriot Louis van Gaal victory.
IMAGES from the English Premier League matches played on Sunday
A 64th-minute goal from wayward striker Diego Costa earned Chelsea their first win in four Premier League matches on Saturday and some breathing space for Jose Mourinho, who said he was still targeting a top-four finish.
The Premier League season is only a week old and the problems are already piling up for misfiring champions Chelsea after a 3-0 thrashing at Manchester City on Sunday.
News of all that transpired on and off the field.
John Terry will pass into Chelsea folklore as their greatest captain during the most successful period in their history and his announcement on Sunday that he will leave at the end of the season marks the end of an era.
Germany scored five times in 27 minutes in the first half to crush Estonia 8-0 and make it three wins in three Euro 2020 Group C qualifiers.
Chelsea reached the League Cup final after Branislav Ivanovic's towering extra-time header secured a 1-0 victory over Liverpool in a rip-roaring semi-final second leg at an electric Stamford Bridge on Tuesday.
News of all that's transpired on and off the football field
Pressure is something that Liverpool manager Brendan Rodgers says comes with the territory, but after a dismal run, the odds on him becoming the season's first managerial casualty are swiftly shortening.
Jamie Vardy equalled the English Premier League record by scoring for a 10th successive match as his Leicester City side went top after winning 3-0 at Newcastle United while champions Chelsea ended their slump with a 1-0 win over Norwich City on Saturday.
Bitter rivals Arsene Wenger and Jose Mourinho had wildly contrasting afternoons on Saturday as Arsenal went top of the Premier League and champions Chelsea lost again with their manager being sent off.
Southampton suffered an embarrassing 1-0 League Cup quarter-final defeat at third tier Sheffield United on Tuesday while Chelsea powered through with a 3-1 win at Derby County.
Chelsea ended their slump with a win over Arsenal while seemingly invincible Manchester City lost their 100 per cent record to West Ham United on a day of contrasting fortunes for the Premier League title favourites on Saturday.
Paris St Germain would be odds-on certainties to easily beat Chelsea and take a big step towards the Champions League quarter-finals on Tuesday if statistics and domestic form decided matches.
Ole Gunnar Solskjaer continued his dream start as Manchester United caretaker manager with a 3-1 Premier League win over Huddersfield on his Old Trafford debut in the dugout on Wednesday.
Chelsea's woes continued when the holders were dumped out of the Capital One (League) Cup fourth round following a shootout defeat by Stoke City on Tuesday, while Arsenal suffered a humiliating 3-0 defeat at second tier Sheffield Wednesday.
Liverpool had to be satisfied with a 1-1 Premier League draw at Arsenal on Saturday as their usually prolific attacking trio were well shackled by their improving hosts.
The club anthem Blue is the Colour resounded around a joyful Stamford Bridge and champagne flowed as Chelsea clinched their first Premier League title for five years with a typically stubborn 1-0 victory over Crystal Palace on Sunday.
Arsenal fear Sanchez injury loss could be 'big blow'.
Willian's late strike snatched a 1-0 home win for Chelsea over a stubborn Everton side to maintain lead.
Manchester United opened up the Premier League title race with a convincing 2-0 home victory over leaders Chelsea on Sunday that leaves second-placed Tottenham Hotspur just four points behind.
Images from the English Premier League matches played on Saturday
Sanchez, 28, is currently in the final year of his contract. He has been linked with a move to Paris St Germain in the current transfer window.
Chelsea moved within touching distance of a first Premier League title in five years with a 1-0 win over Manchester United while Lionel Messi reached a landmark with his 400th career goal for La Liga leaders Barcelona.
Images from the English Premier League matches played on Tuesday.
