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.
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.
The Merseyside club have suffered defeats in three of their past four Premier League matches
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.
Liverpool survived a late spell of Everton pressure to stretch their record unbeaten run in Merseyside derbies to 17 games
Kevin Mirallas' first-half penalty miss proved costly as Everton's dismal run continued with a 0-0 Premier League draw at home to West Bromwich Albion on Monday.
Chelsea lost their 100 per cent Premier League record when London rivals West Ham United held them to a 0-0 draw on Sunday.
Everton striker Victor Anichebe demanded an apology from police on Thursday after being confronted by officers who thought the Premier League player was part of a gang of violent jewel thieves.
Harry Kane's superb scoring streak continued as Tottenham Hotspur survived some late nerves to beat Everton 3-2 at White Hart Lane on Sunday and cut Chelsea's lead at the top of the Premier League to seven points.
The club says they have offered their coveted England striker a club record wage of 50,000 pounds a week to stay.
Steven Gerrard was again Liverpool's saviour on Sunday as the inspirational captain secured a 1-1 draw with Everton in the Merseyside rivals' fourth-round FA Cup tie at Anfield. Gerrard struck nine minutes after halftime to cancel Joleon Lescott's first-half header as the game finished with the same score as their Premier League meeting on the same ground last Monday.
English Premier League club Everton and Indian Football Association (IFA), the game's governing body in West Bengal, on Saturday announced a three-year tie up for grooming promising players in the state. Tony Farrel, former England international and technical director at Everton, said they would conduct a ten-day coaches' clinic from Sunday as part of the agreement.
Manchester United wasted the chance to close on the Premier League leaders when a sloppy second half cost them in a 1-1 draw at Everton on Saturday.
Tim Cahill marked his return from a long injury lay-off to earn Everton a 3-2 victory at Stoke City in the Premier League on Sunday.
Chelsea captain John Terry went from zero to hero, first netting an own goal but eventually coming up with a 98th minute equaliser in an extraordinary 3-3 draw with Everton in the Premier League on Saturday. Manager Guus Hiddink's unbeaten record survived after an amazing match that saw his side fall two goals behind soon after halftime, fight back to 2-2 and then seemingly throw away the points with poor defending which saw Everton sub Ramiro Funes Mori score in the 90th minute.
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.
Troubled AC Milan were held to a goalless draw by AEK Athens
Everton went ahead of Liverpool into fourth place in the Premier League on Monday with an impressive 2-0 victory at Manchester City.
Everton missed the chance to confirm a place in next season's UEFA Cup when they were beaten 1-0 by Arsenal in the Premier League on Sunday. Liverpool, knocked out of the Champions League by Chelsea on Wednesday, won their final home Premier League game, Fernando Torres notching his 32nd goal of the season in all competitions to earn a 1-0 victory over Manchester City.
Aston Villa moved into fifth place in the Premier League after a John Carew hat-trick sealed a 4-1 hammering of Newcastle United.
Chelsea scrambled a stoppage-time winner to snatch a 1-0 victory over Everton on Saturday, showing their Premier League title mettle by claiming three points when they looked on course to suffer another damaging blow.
Two late goals by Everton substitutes brought the Merseysiders a third successive win when they beat Crystal Palace 2-0 at Goodison Park in Sunday's only Premier League game.
Liverpool beat Everton 2-1 in a dramatic EPL Merseyside derby on Saturday at Goodison Park.
IMAGES from Saturday's action in the English Premier League.
Arouna Kone grabbed a hat-trick as Everton piled on the Premier League relegation worries for Sam Allardyce's Sunderland with a 6-2 demolition job at Goodison Park on Sunday.
Everton have apologised to their fans for a controversial change to the club crest and have promised a full consultation with a view to changing it again after next season.
Liverpool came within a point in the battle for third after they drew 0-0 at Aston Villa.
Alvaro Negredo and Sergio Aguero combined to help ManchesterCity bounce back from their Bayern Munich mauling by beating Everton 3-1 at the Etihad Stadium in the Premier League on Saturday.
Manchester City and Arsenal closed in on Premier League leaders Liverpool with contrasting victories on Saturday as Manchester United's bubble was burst by Fulham.
News of all that's transpired on and off the football field
A summary of Thursday's matches in Europe's second tier club football tournament
Louis van Gaal accused his Manchester United players of being out-fought in a 3-0 defeat at Everton.
Southampton threw up a defensive wall around both their goal and their new Argentine manager on Monday, repelling a high-flying Everton side as well as a threatened fans' protest at St Mary's.
Southampton manager Mauricio Pochettino began his reign at the struggling Premier League club with an impressive 0-0 draw against fifth-placed Everton on Monday, three days after taking over from the sacked Nigel Adkins.
Antonio Valencia's early thunderbolt put Manchester United en route to a 4-0 Premier League victory over Everton on Sunday, but they needed a flurry of late goals to finally subdue their unfortunate visitors.
Manchester United crushed minor league Burton Albion 5-0 in their FA Cup third-round replay
IMAGES from UEFA Champions League matches played on Tuesday
Everton's David Moyes was unhappy the additional assistant referees (AARs) used during his team's Europa League win over AEK Athens on Thursday missed the key incident where they could have made a difference.
Premier League leaders Manchester City turned on the style with a 3-1 win over Manchester United in their derby clash, on Sunday, leaving Pep Guardiola's unbeaten side two points clear of Liverpool.