The Everton youngsters made their debuts this season, and the Blues are apparently keen to tie them down.
Everton drew 1-1 with Southampton on Saturday afternoon.
The duo were impressive a 2-0 win over Chelsea Under 21's on Monday.
The young utility player has been training with the seniors.
Everton teenager Callum Connolly was the star of the show for England's under-18 side.