Teenage pair James Wallace and Aristote Nsiala signed new one-year deals with Everton on Tuesday.
Wallace is a product of the Toffees' academy and has made one first-team appearance in the Europa League in August 2009.
The 19-year-old midfielder played 14 games on loan at Stockport last season and, although he was unable to help them secure League Two survival, he did well enough to earn the captain's armband during the run-in.
"I am delighted to sign a new deal at the club," Wallace told Everton's official website.
"I am made up it is sorted and I am just looking forward to pre-season."
Nsiala also spent time on loan in League Two last season, scoring once in 13 games for Stockport's Cheshire neighbours Macclesfield.
The central defender, who can also operate at right-back, has been on Everton's bench this season but is yet to feature for the first team.
"I am happy, and dead excited," he said. "I'm happy that I have been given another challenge.
"Getting on the bench and scoring while on loan have been ups for me this season and I am looking forward to next season."