Roman Dixon, Jacob Beaumont-Clark and Bradley Moonan have all been offered new deals by Everton.
The U18 trio have been told they will be promoted to the U21 squad next season.
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Everton say Sean McAllister and Liam Higgins will also stay short-term as they work on their injury recovery.
Meanwhile, Matthew Apter, Callum Bates, Jack Butler, Coby Ebere, Odin Samuels-Smith, Jack Patterson and Martin Sherif have signed professional contracts.
However, goalkeeper Sebastian Jensen and defender Danny Maher are being released.