Manchester United's top-four aspirations suffered a setback as Louis van Gaal's side were blown away 3-0 by Everton.
Everton now go to up to fifth in the table with 12 points from seven games
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.
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.
The Southampton striker looks set to join Everton in what would be a record six million pounds ($11.5 million) signing by the Merseyside club.
The latest figures have shown that Everton manager David Moyes is the best value-for-money as the football boss.
Former Liverpool and Everton defender Gary Ablett, the only player to win the FA Cup with both Merseyside clubs, has died at the age of 46 after a 16-month battle with cancer.
Chelsea found no chink in Everton's defensive armour as the Premier League champions were held to a frustrating 0-0 draw at Goodison Park on Saturday.
Champions Manchester City galvanised their pursuit of Premier League leaders Chelsea on Sunday with an emphatic 3-0 victory over a Southampton side who have surprisingly come between the leading title protagonists.
The London club dominated the first half but fell behind to a superb goal from their former winger Aaron Lennon before young midfielder Dele Alli furthered his case for a place in England's midfield with a classy equaliser just before the break.
The 'turbulent situation' at Newcastle United has forced Reliance Communications to shift focus to English Premier League side Everton, media reports said in London on Sunday.
Images from the English Premier League matches played on Saturday.
Teenager Dan Gosling scored deep into extra time to give Everton a 1-0 win over city rivals Liverpool in their FA Cup fourth-round replay on Wednesday.
Everton manager Roberto Martinez believes criticism of his side by Arsenal's Arsene Wenger should be seen as a compliment but he is keen to avoid complacency seeping into his squad ahead of Saturday's home game against Fulham.
Chelsea took a major step towards the Premier League title with an impressive 3-0 win over Everton at Goodison Park on Sunday.
The India Under-16 football team conceded a late goal and went down fighting 1-2 to the Everton youth team in a friendly match at Everton, England, on Thursday night.
Manchester United's former England captain Wayne Rooney was pictured at Everton's training ground on Saturday ahead of a proposed transfer back to the boyhood favourites he first joined aged nine.
IMAGES from the soccer matches played across leagues on Friday
Phil Jagielka's stoppage-time thunderbolt earned Everton an unlikely 1-1 draw in the 223rd Merseyside derby on Saturday after Steven Gerrard's free kick appeared to have secured Liverpool a welcome victory.
Ross Barkley scored a sublime goal as Everton beat Queens Park Rangers 3-1 at Goodison Park on Monday to subject the travel-weary Londoners to their eighth away defeat in as many Premier League matches this season.
Everton goalkeeper Tim Howard will be out of action for six weeks due to a calf injury, the Premier League club's manager Roberto Martinez said 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.
Wigan Athletic boss Roberto Martinez is reportedly eyeing the chance to succeed David Moyes as Everton manager after Moyes leaves the club to join Manchester United in place of the retiring Sir Alex Ferguson.
Manchester United manager-to-be David Moyes faced a barrage of death threats from fans from Manchester United and his current club Everton, who are reportedly enraged by Moyes's club swap.
IMAGES from Premier League matches played on Saturday.
Everton moved into fourth place in the Premier League on Sunday with a scrappy 2-1 victory at lowly Wigan Athletic.
Everton went second with a 2-1 victory at Bolton Wanderers thanks to a last-minute winner from Joleon Lescott.
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.
A summary of Sunday's action in the Premier League.
Everton have described as "derisory and insulting" a double bid from Premier League champions Manchester United for Marouane Fellaini and Leighton Baines.
Everton lost ground in the race for a Champions League place on Sunday when they went down 1-0 to struggling Fulham at Craven Cottage, a ground where the Merseysiders have not mustered a point in 42 years. In the day's other games Manchester City came from behind to beat Tottenham Hotspur 2-1 while Wigan Athletic beat Bolton Wanderers 1-0 despite playing with 10 men for 85 minutes.
Manchester City's fingertip hold on their Premier League title was loosened further after a demoralising 2-0 defeat at Everton on Saturday left them hoping for a footballing miracle.
The plucky underdogs were brought down to earth as Manchester City, Everton and Stoke City reached the League Cup semi-finals on Tuesday, ending the hopes of second-tier sides who felled fancied opponents in the last round.
Chelsea, who beat Leicester City 2-0 at Stamford Bridge with goals from home debutant Diego Costa and Eden Hazard, and Swansea City, who sank Burnley 1-0 at the Liberty Stadium, head the early season standings with six points.
Roy Keane suffered his first Premier League setback as his side were rolled over at the JJB Stadium.
High-flying Everton came crashing back down to earth on Saturday with a 1-0 defeat at Reading while Tottenham Hotspur hit form with a 4-0 demolition of Derby County.
Swansea City equalled their highest ever points tally in a Premier League season following a 1-1 draw with Everton in the early game at the Liberty Stadium on Saturday.
Beanpole Ivory Coast striker Lacina Traore has agreed to join high-flying Everton on loan from Monaco for the remainder of the season.
Everton climbed to eighth in the Premier League as Mikel Arteta continued his rehabilitation with two goals in a 5-1 home thrashing of Hull City Sunday.
There was no way through for Chelsea as Watford halted their recent resurgence in a goalless Premier League stalemate at Vicarage Road while Everton piled more woe on Newcastle United with a 3-0 victory on Wednesday.