A goal right at the end of the first half by Yerry Mina proved to be the winner for hosts Everton.
Captain Rob Holding had earlier diverted Dominic Calvert-Lewin's effort past Bernd Leno for the opening goal, but we got on terms via a Nicolas Pepe penalty.
The Ivory Coast international duly tucked home from 12 yards after Ainsley Maitland-Niles was felled in the box.
But we were unable to draw level a second time, despite David Luiz hitting the bar in the second half.
Click the 'Play' button above to watch a bitesize cut, with extended highlights and the entire first and second halves to follow shortly.
Copyright 2021 The Arsenal Football Club plc. Permission to use quotations from this article is granted subject to appropriate credit being given to www.arsenal.com as the source.