Both players have been linked with moves away this summer, with Tottenham and West Ham among the interested parties.
McCarthy has been linked with a Tottenham Hotspur move all summer, as reported by the likes of The Mirror , but the Toffees' valuation of the Republic of Ireland international proved a stumbling block.
Spurs were unwilling to meet the upwards of £20 million demanded for the 24-year old, and he is now close to signing a new five-year deal with Everton.
The Belgian was said to be keen on joining a club with European football, but has now seemingly come around to the idea of an Everton stay.
Both players are vital components of a Roberto Martinez side that underwhelmed last year but - without the burden of the Europa League – should enjoy an improved campaign this time around.
Attention will now turn to in-demand John Stones and if Everton can retain his services beyond September 2nd, the prospects for the blue half of Merseyside will begin to look a whole lot brighter.