It was Mauricio Pochettino's first game at the helm and the Saints' new manager would have been delighted with his side's first-half showing, with the Toffees clearly outplayed and second best.
Rickie Lambert wasted a number of golden opportunities for the hosts and Everton were fortunate not to find themselves a couple of goals down by the half-time whistle.
David Moyes roused his troops during the break, as his side spent more of the second period in the ascendency, although both teams had opportunities to seal the win.
Overall, it was an especially disappointing performance from the Toffees, who were far from their best.
Here are six Everton-related talking points to take from this fixture.