Everton were linked with a January move for Conor Gallagher and could turn their attention towards the Chelsea midfielder in the summer.
Reports emerged a day before deadline day suggesting the Blues had launched a formal bid for the 22-year-old, though it later came to light Chelsea were not keen to offload the England international.
This stance could well change in the summer, however, as Graham Potter's side look to balance the books after two separate spending sprees funded by owner Todd Boehly.