It is a match that Mark Hughes' men can ill afford to start slowly again, having seen a awful first half in the goalless draw against Burnley followed by a costly opening-period performance at Everton.
Schneiderlin's availability is unclear for Everton's trip to Bournemouth next weekend, when Saints will be looking to win their first match of the season against Claude Puel's Leicester.
With the game moving into the dying embers Southampton continued to force the issue in search of an equaliser, but Everton eventually held firm to close out a hard-earned three points that leaves the Toffees unbeaten in their first two league games for a sixth season running.
So despite those reservations, Everton fans can approach the first home game of the season in a reasonably confident mood against a Southampton side that also started with a draw after a goalless match against Burnley.
Phil Jagielka, who has been the Toffees skipper since 2013, was suspended following his red card on the opening day against Wolves.
A succession of free kicks that would end in four Saints players going into the book before half-time saw Michael Keane and Cenk Tosun steer headers on target but straight at Alex McCarthy in the Southampton goal. They looked unsafe from set pieces in the early stages of the game with James Ward-Prowse's ability with the dead ball.
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The government has said it will "carefully consider" the evidence and recommendations made by the by the committee. Public Health England (PHE) have estimated that e-cigarettes are up to 95% less damaging than regular smoking.
The Brazilian converted a cross from Theo Walcott, who opened the scoring against his boyhood club in the 15th minute following a delightfully worked set-piece routine.
Saints' early energy began to drift as Everton took control of proceedings, but the visitors were handed a crucial chance when Pickford spilled a Cedric Soares shot straight into the path of an unmarked Ings.
Although the Frenchman soon went off injured, Everton added a second when Richarlison headed home Walcott's whipped cross.
Ings had been a consistent threat and he was left in acres of space to sweep home Mario Lemina's flick-on from James Ward-Prowse's corner nine minutes after the restart.
Richarlison then doubled Marco Silva's side's lead with his third goal in two games to send the hosts into the break with a two goal lead.
"And more importantly, we got the three points".
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