The move to London sees Butland renew his relationship with manager Roy Hodgson, who gave him his England debut in 2012.
Everton will head into the Merseyside derby against Liverpool after the international break with maximum points from their first four games.
Premier League: Manager Frank Lampard warns Tammy Abraham to respect rules after Chelsea crush Crystal Palace
With Chelsea leading 3-0, Abraham wanted to take their 2nd penalty of the match. Abraham and Timo Werner discussed who should have it before captain Azpilicueta intervened and took the ball out of Abraham's hands and gave it to Jorginho.
Premier League: Frank Lampard says he has too much respect for Crystal Palace boss Roy Hodgson to start a touchline row
Lampard further stoked the feud with Mourinho, making clear how much he admired Hodgson, whose Palace team visit Stamford Bridge in the Premier League on Saturday.
Premier League: Chelsea come back from dead to draw at West Brom; Manchester United snatch 100th-minute win
It is Everton who are setting the early pace in the Premier League as they secured a third straight win in controversial circumstances, 2-1 at Crystal Palace.
Donny van de Beek came off the bench to score on his United debut, but his side were already trailing 2-0 by then and went on to lose 3-1 in a dismal start to their Premier League campaign.
Premier League: Wilfried Zaha nets brace as Crystal Palace stun Manchester United; Arsenal edge West Ham
It was a chastening start to the season for United, who have come under fire from fans frustrated at their relatively modest transfer outlay compared to their title rivals.
Premier League: Harry Maguire to stay as Manchester United captain despite court case, says Ole Gunnar Solskjaer
Maguire was given a suspended 21-month sentence last month after the England defender was found guilty of assaulting a police officer, swearing, resisting arrest and bribery during an incident in Mykonos.
Premier League: Paul Pogba could miss Manchester United's first match due to late preseason training start
United manager Ole Gunnar Solskjaer said Pogba has had only a “couple of training sessions” since recovering from the effects of the virus that ruled the midfielder out of international duty with France.
Batshuayi, 26, has moved back to Selhurst Park after a successful loan spell with Palace in the second half of the 2018-19 season.
Premier League: English forward Eberechi Eze becomes Roy Hodgson's most expensive signing at Crystal Palace
Hodgson saw off rivals West Bromwich Albion and West Ham to secure the signature of the 22-year-old forward, who penned a five-year contract.
Premier League: Crystal Palace boss Roy Hodgson says speculation about future affected Wilfried Zaha's form
Zaha managed only four goals in 38 games this season as Palace, who lost seven of their last eight matches, finished 14th in the league.
Premier League: Harry Kane 'would not be so special for another team', says Tottenham Hotspur manager Jose Mourinho
Kane, who recovered from a hamstring tendon issue during the three-month COVID-19 shutdown, looked back to his best with two quality goals as Spurs defeated Leicester City 3-0 on Sunday.
Bristol City's Famara Diedhiou subjected to racial abuse online after missing penalty against Swansea City
After the game, the Senegal international posted a screenshot of a message with three banana emojis, which he received from someone on Twitter. Diedhiou commented, “Why??”
Villa, who are 19th in the standings with three games remaining, revived their survival hopes by ending a 10-match winless run on Sunday as two goals by Egyptian forward Trezeguet gave them a 2-0 win over Palace.
Zaha asserted on the need for action, education and change after being a target of racist abuse before Crystal Palace's game against Aston Villa in Premier League.
Premier League: Crystal Palace’s Wilfried Zaha racially abused on Twitter; police arrest 12-year-old
Zaha tweeted images of the messages he received from an individual on Saturday, which included one of members of the white supremacist organisation the Ku Klux Klan.
Premier League: Christian Pulisic has taken his game to another level, says Chelsea boss Frank Lampard
Pulisic’s league tally this season stands at eight goals from 16 starts, raising expectations among fans that he can reach the same level as former club talisman Eden Hazard.
Premier League: Chelsea move to third place with nervous win at Crystal Palace, Arsenal held by Leicester
The two results left Chelsea in third place and a point clear of Leicester, which finally dropped to fourth after a poor run of results. Manchester United is four points back in fifth place
Premier League: Arsenal, Chelsea and Manchester United heat up top-four race with convincing victories
Greenwood took his goal tally in all competitions for the senior team to 15 in his breakthrough season at United, while Vardy scored his 100th Premier League goal for Leicester City