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.
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.
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.
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.
Romania face tough test against experienced and motivated Ukraine
Erling Haaland's double put Manchester City within touching distance of an unprecedented fourth successive Premier League title
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.
Gerard Delofeu's late goal earned Everton a deserved 1-1 draw at Premier League leaders Arsenal on Sunday after Mesut Ozil's strike seemed set to seal three points for the home side.
Images from the English Premier League matches played on Sunday.
Norwich City fought back to draw 1-1 with Everton after Romelu Lukaku scored on Saturday for the sixth successive Premier League match to give the visitors an early lead.
Defender Sylvain Distin scored for Everton then conceded a late penalty and was sent off as the Premier League side beat Sporting 2-1 in the first leg of the first knockout round of the Europa League on Tuesday.
Everton's Romelu Lukaku spared his side a fifth straight defeat by snatching an added-time equaliser to salvage a 1-1 home draw with West Ham United in the FA Cup third round on Tuesday.
Goalkeeper Tim Howard saved two penalties against his former club to inspire Everton to a 4-2 shootout win over Manchester United on Sunday which sent them into the FA Cup final for the first time since 1995. Howard saved United's first two spot-kicks from Dimitar Berbatov and Rio Ferdinand after a turgid semi-final ended 0-0 after extra time at Wembley Stadium.
Robin van Persie could return from injury for Manchester United's Premier League game with Everton on Wednesday, manager David Moyes said on Tuesday.
Villarreal went through to the group stage on a 4-2 aggregate crashing Everton's Champions League.
Granit Xhaka hammered two goals in what is expected to be his last game as Arsenal clinched a 5-o win over Wolves.
Yashasvi Jaiswal joined the legendary Sunil Gavaskar as the only two Indian batters to score more than 700 runs in a bilateral Test series.
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.
Manchester City moved closer to signing Everton and England defender Joleon Lescott on Sunday after the Premier League clubs reached an agreement.
Sunderland goalkeeper Simon Mignolet produced a spectacular double save in stoppage time to earn his side a 1-1 draw at Everton after a pulsating end-to-end FA Cup quarter-final on Saturday.
Real Madrid said their participation in the tournament was never in question.
Anthony Martial snatched a late winner to send Louis van Gaal's Manchester United into a potentially season-redeeming FA Cup final as the favourites following a 2-1 victory over Everton at Wembley on Saturday.
Carlos Tevez made his peace with Manchester City but failed to guide them to top spot in the Premier League as they lost 2-1 at home to Everton on Monday.
Everton enjoyed trouble-free progress to the FA Cup fourth round with a 5-1 victory at fourth tier Cheltenham Town on Monday.
Everton have suspended on-loan Brazilian forward Jo for returning to his homeland without permission, manager David Moyes said on Friday.
Everton have agreed to sign Louis Saha from Manchester United subject to the France striker passing a medical.
Reading reached the FA Cup quarter-finals at Premier League at Everton's expense after a first-half goal from defender Matt Mills earned a 1-0 fifth round victory at Goodison Park on Tuesday.
Everton won 1-0 at bottom club Sunderland to leapfrog Arsenal into fourth place in the Premier League on Saturday and the battle at the other end of the table intensified with wins for three clubs in danger of relegation.
Everton defender Phil Jagielka has been ruled out of England's friendly against Denmark next week with a hamstring injury, his club manager Roberto Martinez said on Thursday.
Everton knocked holders Chelsea out of the FA Cup when they won their fourth-round replay 4-3 on penalties after a 1-1 draw at Stamford Bridge on Saturday.
Everton skipper Phil Neville scored the decisive spot-kick to give his side a 4-3 penalty shoot-out win over holders Chelsea after their FA Cup fourth-round replay ended in a 1-1 draw after extra-time at Stamford Bridge on Saturday.
IMAGES from the Premier League matches played in England on Sunday.
Everton striker Romelu Lukaku struck a late equaliser to salvage a 1-1 draw against a solid CrystalPalace side in an absorbing Premier League match at Goodison Park on Monday.
Chelsea snatched an injury-time winner and a 2-1 victory over Everton in their League Cup semi-final first leg.
Phil Foden struck twice as Manchester City stepped up their bid for a fourth Premier League crown in a row with a ruthless 4-0 victory at Brighton & Hove Albion on Thursday.
Arsenal overcame the dismissal of striker Nicklas Bendtner to beat Everton 4-1 away on Saturday and regain top spot in the Premier League after Manchester United had earlier lost 2-1 at West Ham United
Liverpool remained in second place behind Manchester United in the Premier League after a Tim Cahill goal three minutes from time earned Everton a 1-1 draw.
Everton have offered former England captain David Beckham a chance to return to the Premier League on a short-term loan from the Los Angeles Galaxy during Major League Soccer's close season.
IMAGES from the Premier League matches played on Saturday