Liverpool came within a point in the battle for third after they drew 0-0 at Aston Villa.
The Everton manager is to sue his former protege Wayne Rooney over comments made in the 20-year-old's autobiography.
Wayne Rooney's soured relationship with Everton manager David Moyes hastened his departure to Manchester United, the England striker has said in his autobiography.
Everton's Theo Walcott struck just after halftime to secure a 1-0 home win over Newcastle United, on Monday, that took the Merseysiders up to eighth in the Premier League, their highest position this season.
Wayne Rooney's Everton homecoming ended in a 1-0 win over Slovak side Ruzomberok with the former Manchester United striker having a quiet return to Goodison Park in the Europa League, third qualifying round, first-leg on Thursday.
A preview of the line-up action in the English Premier League
Villarreal went through to the group stage on a 4-2 aggregate crashing Everton's Champions League.
Van Dijk was substituted early in the game when Everton goalkeeper Jordan Pickford made a reckless challenge in the box, which left Liverpool manager Juergen Klopp fuming.
Chelsea romped to a 4-1 home win over Everton in their FA Cup fourth round
After Wolves missed several chances in the first half, Raul Jimenez pounced in the 61st minute to break the deadlock with his second goal of the season.
Manchester United crushed minor league Burton Albion 5-0 in their FA Cup third-round replay
The Man United manager tore a strip off Gary Neville after the England defender was sent off for kicking the ball at Everton fans.
A preview of the English Premiership's first round of matches.
As Manchester City fans left Goodison Park after a 2-0 victory over Everton on Wednesday that sent their team back to the top of the Premier League, they aimed their chants across adjacent Stanley Park to title rivals Liverpool.
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.
Manchester United beat Everton 2-0 to reach the FA Cup quarter-finals, while 10-man Arsenal were held 1-1 by Sheffield United
Striker Eidur Gudjohnsen scored the winner as Chelsea registered a 1-0 victory over 10-man Everton 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.
Eight wins and a draw in their last nine games had seen Leicester emerge as the closest pursuers of runaway leaders Liverpool but they went down 3-1 at the Etihad despite taking an early lead through Jamie Vardy. Images from the English Premier League matches played on Saturday.
Zlatan Ibrahimovic's 28th goal of the season in all competitions put United ahead and Sunderland's cause became all but impossible after Seb Larsson was sent off close to halftime.
A review of the weekend action in the leading European leagues.
Images from the English Premier League matches played on Saturday.
I don't think we can do a Leicester. I am realistic, says Everton manager
Everton thwarted Tottenham Hotspur's hopes of moving up to second in the Premier League when the two teams battled to a 0-0 draw at Goodison Park on Sunday.
Manchester United beat Bolton Wanderers 2-1 to go three points clear in the premier league.
Manchester United finished with nine men in a 1-0 defeat at Everton on Wednesday.
The next man in charge faces an unenviable task trying to sort out the existing mess and then living up to goals that seem ever more distant.
The England striker's transfer value soared to 50 million pounds following his Euro 2004 performances.
Tottenham Hotspur boss Andre Villas-Boas has been criticised for allowing France international goalkeeper Hugo Lloris to play on despite briefly losing consciousness against Everton on Sunday.
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.
The club says they have offered their coveted England striker a club record wage of 50,000 pounds a week to stay.
IMAGES from the English Premier League matches played on Saturday
Champions Leicester City will begin their Premier League title defence with a trip to newly promoted Hull City on August 13, according to the 2016-17 fixtures released on Wednesday.
Manager Arsene Wenger wants Arsenal to reinforce their title credentials by beating Manchester City in the Premier League on Sunday and called on his players to show no fear at the Etihad Stadium.
Professional boxers can compete at the upcoming Olympic Games in Rio de Janeiro, the sport's governing body ruled in a landmark decision on Wednesday. Meeting at an extraordinary congress in Lausanne, Switzerland, 88 members of the International Boxing Association (AIBA) voted in favour of the move, while none voted against and four abstained. The final results of the vote were told to AFP by a senior official within AIBA who requested anonymity as they were not authorised to speak publicly on the subject before the official announcement.
The youngest manager in the English premiership, he led Everton to seventh place, their best finish since 1996.
