Swansea City's hopes of salvaging their place in the Premier League suffered a potentially grievous blow as Ryan Fraser's deflected strike earned Bournemouth a 1-0 win on Saturday to secure another season of top-flight football for the Cherries.
Manchester United manager Jose Mourinho has dismissed suggestions that midfielder Paul Pogba faces a lengthy lay-off because of a hamstring injury sustained in the Champions League defeat of Basel on Tuesday.
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.
Top-class goals from Bernardo Silva and Sergio Aguero took Manchester City back to the top of the Premier League in a 2-0 win over Fulham at Craven Cottage on Saturday.
Chelsea replaced Liverpool at the top of the English Premier League with a 1-0 victory at Middlesbrough.
Tottenham Hotspur have shown impressive durability in the Premier League lately, but they will need to be at their most steadfast to deny champions and league leaders Manchester City who travel to Wembley on Monday.
'The mental level, the day by day, everything must be consistent until the last day so one of the things we have to improve is consistency'
Romelu Lukaku's 50th league goal for Everton put them on the way to a deserved 2-0 victory over West Ham United on Sunday, ending a run of four league games without a win. It kept the Merseysiders sixth in the Premier League and West Ham in the bottom five.
Manchester United battled back from two goals down to beat Newcastle United 3-2 at Old Trafford on Saturday as a 90th-minute winner from Alexis Sanchez completed a spirited comeback to ease the pressure on manager Jose Mourinho.
Leicester City manager Claudio Ranieri has asked for a change in mentality to revive the club's Premier League campaign which is in stark contrast to their impressive Champions League form.
Tottenham Hotspur claimed a first victory at Chelsea for 28 years with Dele Alli scoring twice in the second half as they came back to win 3-1 and cement fourth place in the Premier League on Sunday.
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.
Liverpool manager Juergen Klopp acknowledged that they would have to defend better in the visit to Stamford Bridge to stop Eden Hazard reprising the sort of solo brilliance that propelled Chelsea to victory at Anfield on Wednesday.
Chelsea goalkeeper Kepa Arrizabalaga remains the club's first choice but manager Maurizio Sarri is still uncertain if the Spaniard will be recalled to the starting team for Sunday's Premier League trip to Fulham.
Images from the English Premier League matches played on Tuesday
Chelsea lost their 100 per cent Premier League record when London rivals West Ham United held them to a 0-0 draw on Sunday.
Images from the English Premier League matches played on Saturday
The centre-back has not played since Sarri took over from Antonio Conte at the start of the season, and says he could call time on his career at Stamford Bridge when the transfer window reopens if his situation does not improve.
Liverpool took over at the top of the Premier League table despite being held to a 0-0 draw against Manchester United in a scrappy match on Sunday.
I don't think we can do a Leicester. I am realistic, says Everton manager
IMAGES from the English Premier League matches played on Saturday
Liverpool continued their perfect start to the season to stay top of the Premier League after a goal in each half gave them a 2-1 victory over Tottenham Hotspur at Wembley on Saturday.
Chelsea have completed the signing of Basel's Egyptian winger Mohamed Salah, the Premier League club said on their website on Sunday.
The north London outfit were brushed aside by a dominant City side in last Sunday's League Cup final with Pep Guardiola's team converting all three of their shots on target to win 3-0 while Arsenal failed to convert either of their chances.
Tottenham went ahead through Sanchez who scored his first goal for the London club by meeting Eriksen's whipped cross with a diving header in the 33rd minute, although Leicester's players complained he was in an offside position.
Romelu Lukaku struck twice as Manchester United returned to winning ways after two successive Premier League losses with a 2-0 victory over Burnley at Turf Moor on Sunday.
Champions Manchester City will expect to get back to winning ways at home to Newcastle United in a match which pits Pep Guardiola against his fellow Spaniard Rafa Benitez.
Chelsea kept up their 100 percent start to the English Premier League season by snatching a 2-1 win at a stubborn Newcastle United on Sunday, grabbing victory thanks to a late own goal by DeAndre Yedlin.
Sergio Aguero and Kevin De Bruyne put on an attacking masterclass to help City rout Leicester City 5-1.
Manchester United will be without world record signing Paul Pogba for their Premier League opener against Bournemouth on Sunday due to a suspension, the Football Association said on Friday.
Daryl Janmaat, Gerard Deulofeu and Roberto Pereyra all scored late on in response to Eden Hazard dragging Chelsea back into the game with a curler in the 82nd minute after Tiemoue Bakayoko was sent off for a second booking on the half-hour.
Another Liverpool great, Graeme Souness, said Klopp had produced a "fabulous" side.
Southampton were left in the Premier League's bottom three after losing an early lead to draw 1-1 at home to fifth-placed Tottenham Hotspur on Sunday.
A rampant Harry Kane netted four goals and livewire Son Heung-Min scored twice as Tottenham Hotspur thrashed Leicester City 6-1 in an action-packed Premier League clash on Thursday.
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.
The victory, Chelsea's 28th of the season, put the long-time league leaders 10 points clear of second-placed Tottenham Hotspur, who have only three games left to play.
Alexis Sanchez and Olivier Giroud were on target as Arsenal won 2-0 at Southampton on Wednesday to move up to fifth in the Premier League and fuel their hopes of a late push for the top four.