Manchester City secured a record 15th straight victory in all competitions with a 3-1 win at Championship side Swansea City in the FA Cup fifth round on Wednesday.
Everton have 36 points from 26 games
A rejuvenated Manchester United claimed a sixth win from six matches since former striker Ole Gunnar Solskjaer stepped in following the sacking of Jose Mourinho.
Liverpool's new owners watched their team slump to a comprehensive 2-0 defeat at Merseyside rivals Everton which sent them second bottom of the Premier League on Sunday.
Holders Chelsea needed a late equaliser by Salomon Kalou to snatch a 1-1 draw that kept them in the FA Cup after a Louis Saha header had put Everton on course for a fourth-round upset at Goodison Park on Saturday.
Kane began the night level on 19 goals with Liverpool's Mohamed Salah in the race for the Golden Boot.
Liverpool's new American era began in failure on Sunday in front of their latest owners with a 2-0 loss to Merseyside rivals Everton which sent them second from bottom of the Premier League.
Rodriguez whipped Everton in front from the edge of the box, and Michael Keane and Calvert-Lewin ensured it was two wins from two in the Premier League so far this season.
Chelsea made it four wins out of four and left West Ham United rooted to the bottom of the Premier League with four defeats as the champions strolled to a 3-1 victory at their London rivals on Saturday.
A preview of the line-up action in the English Premier League.
A 0-0 Premier League draw against old foes Everton at Goodison Park is not how the Liverpool captain would have dreamt about signing off from the rivals' habitual battle for superiority.
Everton have signed winger Gerard Deulofeu from Barcelona on a three-year contract for six million euros ($6.7 million), the Premier League club said on Thursday.
Manchester City's Premier League title hopes were delivered a grievous blow on Sunday as Everton's inspired Romelu Lukaku and teenagers Tom Davies and Ademola Lookman made it another crushing afternoon for Pep Guardiola.
The Merseyside club have suffered defeats in three of their past four Premier League matches
Goals rained in for Manchester City and Manchester United but Juergen Klopp's first game as Liverpool manager was solid rather than spectacular as they drew 0-0 at Tottenham Hotspur in the Premier League.
Arsenal lit up the opening day of the Premier League season with a 6-1 demolition of Everton and Didier Drogba struck in stoppage time to give Chelsea manager Carlo Ancelotti a winning start on Saturday.
Premier League heavyweights Liverpool and Manchester United were caught by late sucker punches in two games that finished far more dramatically than they began on Sunday.
Everton have agreed a deal with Dutchman Ronald Koeman to become the Premier League club's manager, the BBC reported on Tuesday.
Everton have agreed a loan deal until the end of the season with Manchester City forward Jo, the Premier League club said on Monday.
Newly-acquired Spain forward Pedro highlighted his potential worth to Premier League champions Chelsea with a goal, assist and eye-catching performance in their 3-2 win at West Bromwich Albion on Sunday.
Everton have dropped Nigeria's Yakubu Aiyegbeni for Saturday's home match against Reading after his late return from the African Nations Cup, the Premier league club said on Friday.
Images from Saturday's action in the Premier League.
The Premier League's leading goalscorers will be on show at when surprise leaders Leicester City bid to move further ahead at the top with victory against Everton at Goodison Park on Saturday.
Chelsea and Liverpool maintained their unbeaten starts to the season and kept the pressure on early pace-setters Arsenal when they both chalked up 2-0 away wins in the Premier League on Saturday.
Manchester United crushed Derby County 4-1 away while Everton beat Aston Villa 3-1 at Goodison Park on Sunday to reach the quarter-finals of the FA Cup. United were pushed all the way by the Championship (second division) strugglers in the League Cup semi-finals last month but cruised home this time with goals by Nani, Darron Gibson, Cristiano Ronaldo and Danny Welbeck.
Everton beat Portsmouth 3-1 at Goodison Park to move back into fourth place in the English Premier League.
Aston Villa moved back to fifth in the English Premier League with an astonishing 3-2 win over Everton on Sunday after a goal in the first minute and one from each side in stoppage time. In the day's other match, West Bromwich Albion failed to win for the ninth successive match and stayed bottom after being held to a 1-1 draw by Portsmouth at The Hawthorns.
Chelsea kept their title hopes alive of winning the Premier League when they beat Everton 1-0 at Goodison Park on Thursday with a first-half goal from Michael Essien. The victory lifted Chelsea, who have three matches to play, on to 78 points, two behind leaders Manchester United who have a game in hand.
Everton and Manchester United drew 1-1 at Goodison Park in the Premier League on Sunday in an enthralling game which ended with late VAR drama.
'The pandemic has caused football to change a lot, and for the worse. You can see it in the matches, and I hope this all ends soon and we can get fans back into the stadiums and return to normality.'
Gareth Barry is the perfect player for Everton, manager Ronald Koeman has said after the midfielder scored in his 600th Premier League appearance to help the club beat Middlesbrough 3-1.
Chelsea beat Everton 1-0 in the second leg of their semi-final will meet Tottenham Hotspur in next month's League Cup final.
Manchester City's impressive 2-0 victory at Everton on Sunday equalled a club record of nine successive Premier League wins.
News of all that's transpired on and off the football field.
Manchester City's hopes of remaining in the Premier League title race will hinge on how the defending champions negotiate the next five days with matches against Everton and Chelsea, midfielder Bernardo Silva has said.
Aston Villa moved into fifth place in the Premier League after a John Carew hat-trick sealed a 4-1 hammering of Newcastle United.
Everton tightened their grip on fourth place in the Premier League and the prospect of Champions League football with a 1-0 win over Reading on Saturday.
Everton get the chance to put a large dent in Manchester United's title hopes when they face the Premier League's injury-hit leaders at Goodison Park on Saturday.
Liverpool beat Everton 2-1 in a dramatic EPL Merseyside derby on Saturday at Goodison Park.
Everton manager David Moyes is to sue a newspaper over comments it published from Wayne Rooney's autobiography.
