Arsenal and Manchester City came from behind to win in the Premier League Saturday.
City were 3-2 victors over Fulham to stay one point behind Liverpool, alongside Arsenal who saw off Southampton 3-1.
Fresh from a dominant win over Paris Saint-Germain in the Champions League, Arsenal were expected to sweep aside winless Southampton.
But the Saints shocked the Emirates 10 minutes into the second half when Cameron Archer fired in his first Premier League goal since a summer move from Aston Villa.
The lead only lasted three minutes before Kai Havertz scored for the seventh consecutive home game.
Gabriel Martinelli was introduced after an hour and took just eight minutes to make his mark with a finish on the volley from Bukayo Saka's cross.
Having set up Arsenal's first two goals, Saka pounced on a loose ball to score the third himself.
Rodri's season-long absence due to a serious knee injury is expected to be a major blow to City's chances of retaining the title for a fifth consecutive season.
But it was the Spaniard's deputy Mateo Kovacic who scored twice to turn the game around for the champions at the Etihad.
The visitors had not lost since the opening night of the season at Manchester United and led thanks to Andreas Pereira's finish from an outrageous backheel assist by Raul Jimenez.
Kovacic's deflected effort quickly brought City level before a cleaner strike less than two minutes into the second half made it 2-1.
Jeremy Doku then smashed into the top corner from outside the box to give City a two-goal cushion, which they needed.
Rodrigo Muniz gave Fulham hope on 88 minutes, but City held out for a 17th consecutive win against the Cottagers.
West Ham United eased the pressure on new boss Julen Lopetegui by ending a run of three home defeats to start the new season.
Michail Antonio, Mohammed Kudus, Jarrod Bowen and Lucas Paqueta struck for the Hammers in a 4-1 win over Ipswich Town, who are still waiting for their first Premier League win 22 years.
There were six goals before half-time as Brentford beat Wolverhampton Wanderers 5-3 to leave the visitors still rooted to the foot of the table.
Leicester City secured their first league win of the season as Facundo Buonanotte's strike beat Bournemouth 1-0.
United manager Erik ten Hag faces a huge match if he is to remain in charge when the Red Devils visit Aston Villa in the pick of Sunday's action.
RESULTS
Everton 0 Newcastle 0
Arsenal 3 (Havertz 58, Martinelli 68, Saka 88) Southampton 1 (Archer 55)
Brentford 5 (Collins 2, Mbeumo 20-P, Norgaard 28, Pinnock 45+2, Carvalho 90) Wolves 3 (Cunha 4, Strand Larsen 26, Ait Nouri 90+3)
Leicester 1 (Buonanotte 16) Bournemouth 0
Man City 3 (Kovacic 32, 47, Doku 82) Fulham 2 (Pereira 26, Muniz 88)
West Ham 4 (Antonio 1, Kudus 43, Bowen 49, Paqueta 69) Ipswich 1 (Delap 6)