Goals from Tom Davies and Richarlison gave Everton their first away win of the season, taking some pressure off under-fire manager Marco Silva but putting more of it on Southampton's Ralph Hasenhuttl.
The visitors took the lead in the fourth minute when the unmarked Davies headed in a corner kick for his first goal since May 2018 -- which also came against the Saints.
Everton created the most chances in the first half, while the home side failed to muster a single shot on goal, leading to boos and jeers at the half-time whistle.