The Toffees are being linked with Chelsea striker Michy Batshuayi and midfielder Ross Barkley.
However, iNews states that the club do not have any desire to sign either player.
Both Barkley and Batshuayi are out of favour at Chelsea, and are likely to leave either on loan or permanently before the transfer window closes.
However, it appears neither player will be lining up at Goodison Park for Frank Lampard's Toffees this season.
Everton are, however, still pursuing Idrissa Gueye from Paris Saint-Germain, who they hope to secure in the coming days.