Liverpool strolled to a 2-0 victory over Brentford, while Newcastle drew 1-1 at Bournemouth.
Roberto Martinez has been named Everton manager after leaving Wigan Athletic where the Spaniard forged a reputation for making the best of limited resources and playing attractive football.
Everton moved up to third place in the Premier League despite being held to a 1-1 draw by Crystal Palace as Belgium strikers Christian Benteke and Romelu Lukaku both got on the scoresheet in a battling encounter on Friday.
The 28-year-old, who joined Arsenal in 2006, scored 108 goals in 397 appearances but has struggled to hold down a first-team place this season under manager Arsene Wenger.
Liverpool regained their place at the top of the English Premier League with a 2-0 win at Cardiff City on Sunday that restored their two-point lead over Manchester City
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.
Everton have rejected a formal transfer request from England defender Joleon Lescott, the English Premier League club said on Tuesday. The 26-year-old's written request follows Everton's decision to turn down two bids from league rivals Manchester City, the last coming on July 30 for 18 million pounds ($29.71 million).
Liverpool's livewire Sadio Mane scored one goal and played a crucial part in the other as they reclaimed the Premier League's top spot with a scrappy 2-1 win at second bottom Fulham on Sunday.
Kevin de Bruyne struck twice to inspire Manchester City to a dominant 4-2 win at Crystal Palace on Saturday and move the champions level on points with Liverpool at the top of the Premier League table.
Arsenal are eighth, seven points adrift of fourth-placed Chelsea, while Norwich remain second from bottom.
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.
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.
Arsenal closed the gap on leaders Liverpool with a 2-1 Premier League victory at Nottingham Forest
Manchester City won an unprecedented fourth straight English top flight title with a 3-1 win over West Ham United.
Manchester United kept up their impressive chase for a top-four spot with a comfortable 3-0 win at relegation-threatened Aston Villa in the English Premier League on Thursday. Relegation-threatened Bournemouth had a late goal disallowed by VAR as they had to settle for a 0-0 draw at home to Tottenham Hotspur.
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.
Aston Villa twice came from behind to earn a pulsating 2-2 draw at Everton on Sunday and prolong the battle for fifth place in the Premier League and a UEFA Cup place.
Champions Manchester City have won their last 10 home league matches scoring a total of 36 goals.
Everton have agreed a deal with Dutchman Ronald Koeman to become the Premier League club's manager, the BBC reported on Tuesday.
HullCity have agreed a transfer fee with English Premier League rivals Everton to sign Croatia striker Nikica Jelavic.
Liverpool were held 0-0 at home by Everton in the city derby.
It was a day of role reversal as Jose Mourinho's often cautious Chelsea thumped Everton 6-3 in a thriller on Saturday while champions Manchester City's attacking talents were blunted in a shock 1-0 home defeat by Stoke City.
Manager Roberto Martinez described Romelu Lukaku as the perfect striker for Everton after the Belgian bagged his 19th goal of the season to secure a 2-1 win over Manchester City on Wednesday.
IMAGES from the English Premier League matches played on Saturday.
Arsenal claimed their first Premier League win at Everton for six years as Leandro Trossard's second-half strike proved enough to secure the points at Goodison Park on Sunday.
Everton's hopes of playing European football next season receded after they drew 0-0 at city rivals Liverpool on Sunday.
Everton's Romelu Lukaku ended his longest goal drought in English football with an 11-minute hat-trick to power the visitors to an emphatic 3-0 win over Sunderland on Monday and third place in the Premier League table.
News of all that's transpired on and off the football field.
Vitaliy Mykolenko's 39th-minute own goal had put Luton ahead before Jack Harrison cheered the Everton faithful with an equaliser in the 55th minute, hammering in a low shot that Luton keeper Tim Krul allowed to let slip through his hands.
The club said it has rejected bids for the England striker from Premier League rivals Manchester United and Newcastle United.
Rooney, the all-time leading goalscorer for club and country, has started eight Premier League games this season and has not played since Feb. 1.
Everton battled back from two goals down to draw 2-2 at home to Liverpool in the first Merseyside derby of the season at Goodison Park on Sunday.
The hosts had looked on course to take all three points from a drab match when Anthony Knockaert pounced on a loose ball and fired home eight minutes from full-time.
Ashley Williams powered home a towering header in the 86th minute as Everton fought back to claim a 2-1 win over Arsenal as the title hopefuls blew the chance to return to the Premier League summit.
The Merseyside club have suffered defeats in three of their past four Premier League matches
Newcastle United striker Demba Ba struck in the last minute to salvage a 2-2 draw with Everton in a pulsating Premier League match at Goodison Park on Monday.
IMAGES from UEFA Champions League matches played on Tuesday
Liverpool survived a late spell of Everton pressure to stretch their record unbeaten run in Merseyside derbies to 17 games
Chelsea lost their 100 per cent Premier League record when London rivals West Ham United held them to a 0-0 draw on Sunday.