The Gunners narrowly lost at Goodison Park after James Tarkowski’s well-worked header from a set piece.
It was the first goal Arsenal have conceded from a cross this season as Sean Dyche secured his first win as Everton boss and the Toffees’ first victory in 11 games across all competitions.
Mikel Arteta's side had chances of their own in the first half with Eddie Nketiah unable to get his effort on target from an acute angle, while Bukayo Saka struck a volley past Jordan Pickford before seeing it cleared off the line by Conor Coady.
Dominic Calvert-Lewin and Abdoulaye Doucoure came close for the hosts before Leandro Trossard had his effort well saved by Pickford in the closing stages.
The result could see Arsenal's lead at the top of the table cut to two points if Manchester City beat Tottenham on Sunday.
Here’s how we rated the Arsenal players in their 1-0 loss.