Liverpool's record-breaking start to the season continued at Chelsea after Manchester City steamrolled Watford.
Bernardo Silva said his tweet to team-mate Benjamin Mendy was a "joke" but the Football Association is to investigate his post.
After losing 2-1 to Liverpool at Stamford Bridge, Frank Lampard said his Chelsea side should aim to reach the Reds' level.
Jurgen Klopp explained how Sadio Mane suffered two injury issues in Liverpool's 2-1 win over Chelsea at Stamford Bridge on Sunday.
Jose Mourinho was critical of Manchester United's loss at West Ham, but Ole Gunnar Solskjaer did not bite back at his predecessor.
Manchester United's problems on the road continued with a 2-0 defeat at West Ham, while leaders Liverpool made it six wins out of six.
Half of the Premier League's 'big six' all lost at the weekend, with Liverpool and Manchester City showing they are way ahead of the rest.
Liverpool survived a late fightback to earn a 2-1 win at Chelsea, after which Jurgen Klopp admitted Manchester City make winning look easy.
Ainsley Maitland-Niles was sent off for Arsenal but late goals from Calum Chambers and Pierre-Emerick Aubameyang gave them all three points.
N'Golo Kante's superb solo effort proved a mere consolation for Chelsea as they lost 2-1 at home to Liverpool in the Premier League.
Plenty of thrilling sporting events are happening this week! For Astro Sports Pack customers, here's a handy guide on what to look out for in the next few days... (coverage is subject to change)
In a career that has seen him play for Germany, Chelsea and Werder Bremen, Red Star captain Marko Marin is enjoying his time in Belgrade.
The spat between Liverpool stars Mohamed Salah and Sadio Mane is over, according to the latter, who has "reconciled" with his team-mate.
After Manchester City's surprise defeat to Norwich City, Pep Guardiola insisted Manchester City's players are responsible for his status.
Sheffield United's ownership case has been settled in favour of Prince Abdullah bin Musa'ad bin Abdulaziz Al Saud.
Liverpool "should not underestimate" the impact the weather will have on Jurgen Klopp's decision to leave or stay at Anfield beyond 2022.
Manchester United have announced goalkeeper David de Gea has committed his future to the club by signing a new four-year-deal.
Chelsea's Tammy Abraham is the joint-leading scorer in the Premier League, but Frank Lampard has set no expectations for the 21-year-old.
European champions Liverpool could face one of four possible opponents, including Mexican side Monterrey, in the Club World Cup semi-finals.
After David de Gea committed his future to Manchester United, we looked at the best Opta data behind his Premier League career to date.