Brighton and Hove Albion scored late to earn a 1-1 draw at Crystal Palace. Sheffield United and Fulham also drew 1-1 as both teams picked up their first points.
Everton have agreed to sign Barcelona's Colombia centre back Yerry Mina for an initial 30.25 million euros ($34.97 million) and have also taken the club's midfielder Andre Gomes on loan, the Spanish champions said on Thursday.
Manchester City paid the price for missed chances as they were held to a 1-1 draw at Burnley on Saturday with Johann Berg Gudmundsson's 82nd minute equaliser earning the hosts a share of the points.
Ten-man Arsenal suffered a 3-0 Premier League defeat at Leicester City on Sunday in another blow to their hopes of finishing in the top four and qualifying for the Champions League.
Images from the EPL matches played on Saturday
Champions Chelsea have not enjoyed the best of starts at home this season and face their biggest test yet on Saturday with the visit of free-scoring leaders Manchester City.
Juventus progressed to the Champions League last 16 after a Cristiano Ronaldo goal and a late header from substitute Alvaro Morata gave them a comeback 2-1 home win over Hungarians Ferencvaros on Tuesday.
A Roberto Firmino hat-trick proved the highlight of Liverpool's 5-1 demolition of Arsenal as the Premier League leaders opened a nine-point gap over Tottenham Hotspur, who lost 3-1 to Wolverhampton Wanderers.
News of all that's transpired on and off the football field
Chelsea begin their Premier League title defence against Swansea City on Saturday in the unusual position of heading into a new season having been significantly outspent by their rivals.
News of all that transpired on and off the football field.
Images from the English Premier League matches played on Saturday.
News of all that's transpired on and off the football field.
IMAGES from the English Premier League matches played on Saturday.
Manchester United manager Louis van Gaal cut a frustrated figure after his team lost 1-0 at home to West Bromwich Albion on Saturday, their third successive defeat in the Premier League.
Manchester United climbed back up to second in the table after second-half goals by Anthony Martial and Jesse Lingard earned a 2-0 victory at Everton -- their first win in five games in all competitions.
IMAGES from the English Premier League matches played on Sunday
Manchester United defender Daley Blind says his team mates are adapting to Louis van Gaal's Dutch style of play and it is only a matter of time before they start reaping the rewards of their new look.
Manchester City made the most of a case of mistaken identity and kept alive their faint title hopes thanks to a much-needed 3-0 victory over 10-man West Bromwich Albion in the Premier League on Saturday.
News of all that transpired on and off the football field.
Departing captain John Terry led his Chelsea champions to a rip-roaring 4-3 victory over Watford on Monday, scoring the first goal on an evening of celebration, fireworks and streamers rather than vintage football at Stamford Bridge.
Manchester City are brimming with optimism with coach Manuel Pellegrini 'absolutely sure' of winning the Premier League title.
Jose Mourinho's side had paid lavish sums to bolster key areas by this time last year but, having claimed the title at a canter, the motto of this transfer window seems to be: if it ain't broke, don't fix it.
IMAGES from the English Premier League matches played on Saturday
Five talking-points from the Premier League weekend after Manchester City suffered a shock home loss to Crystal Palace, meaning that Liverpool stayed four points clear at the top following their win over Wolverhampton Wanderers.
Manchester United's winless run continued but they gave under-fire coach Louis van Gaal crumbs of cheer with a committed display in an entertaining 0-0 draw with Chelsea while Arsenal went top of the table on Monday.
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.
News of all that's transpired on and off the football field.
News of all that's transpired on and off the football field
This and more from the happenings in the world of football
Liverpool's dream run was demolished in the most unlikely fashion by strugglers Watford on Saturday in what must be considered the most extraordinary reverse of the entire Premier League season. On the evening when the European champions were expected to complete the best sequence in the history of English football's top-flight with a 19th straight league victory, they were instead hammered 3-0 by the team lying one from bottom. Images from the EPL matches played on Saturday.
Meanwhile, Real Mallorca made a dream return to La Liga with a 2-1 victory over Eibar at the Estadi Son Moix on Saturday, less than two months after sealing back-to-back promotions to rejoin Spain's soccer elite.
Images from the EPL matches played on Sunday
Images from the FA Cup matches played on Saturday
Diego Costa was on target again as Chelsea overcame a defensive West Bromwich Albion 1-0 to return to the top of the Premier League with their ninth victory in a row on Sunday. The Spaniard's second-half strike sent the Blues three points clear of Arsenal, who had taken the overall lead on goals scored on Saturday after seeing off Stoke City 3-1 at the Emirates.
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.
Former Cup winners Coventry, now plying their trade in the bottom division of the Football League, revived memories of happier times as Jordan Willis and Jack Grimmer scored the goals in a 2-1 victory at the Ricoh Arena.
Arsenal must not rest on their laurels after successive FA Cup victories and instead use one of the side's 'best squads' to inspire them to Premier League glory next season.
The following is a look back on key moments in the thrilling Premier League title race, won by Manchester City on Sunday:
Chelsea playmaker Eden Hazard says it "would be a dream" to play under French great and current Real Madrid manager Zinedine Zidane in the future.