Manager Roberto Martinez brings in Funes Mori to place the injured Phil Jagielka on the backline, while Deulofeu replaces Aaron Lennon in a three-pronged support for Romelu Lukaku, who is making his 100th appearance for the Toffees.
Striker Bafetimbi Gomis has not travelled to Merseyside following the birth of his child.
Everton: Howard; Baines, Funes Mori, Stones, Oviedo; Barry, Besic; Mirallas, Deulofeu, Barkley; Lukaku
Subs: Joel, Kone, Lennon, Cleverley, Osman, Pienaar, Coleman
Swansea City: Fabianski; Rangel, Fernandez, Williams, Taylor; Britton, Cork, Ki; Sigurdsson, Routledge, Ayew
Subs: Nordfeldt, Naughton, Amat, Barrow, Montero, Emnes, Eder
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