Arsenal returned from the international break with an assured 2-0 home win against Southampton, while Crystal Palace won at Hull City under the watchful eye of newly-appointed manager Tony Pulis.
Robin van Persie scored against his former side Arsenal once again as Manchester United won 1-0 at Old Trafford. Elsewhere, Sunderland extended Manchester City's poor away run with a 1-0 victory of their own.
Second-half goals from Yoan Gouffran and Loic Remy have propelled Newcastle United to a 2-0 win over Chelsea and dented the Blues' title ambitions.
Liverpool returned to the top of the English Premier League table after Luis Suarez and Daniel Sturridge continued their scoring ways against Crystal Palace, while Fulham won late at home to Stoke City.
Didier Deschamps has included Karim Benzema, Yohan Cabaye, Loic Remy, Mamadou Sakho and Raphael Varane in his France squad for the friendly against Australia and the Brazil 2014 qualifier at home to Finland.
Everton held off a late Newcastle United fightback courtesy of a first-half brace from Romelu Lukaku's and Ross Barkley's strike to beat the visitors 3-2, sending the Toffees fourth in the English Premier League table.