The Express claims Toffees boss Roberto Martinez is keen to land the youngster who he managed at the DW Stadium before leaving for Goodison Park in the summer.
The Spanish manager believes McCarthy is the perfect player to help add some dynamism to his midfield.
The Latics are keen to hold on to McCarthy but know they face an uphill battle to prevent him from leaving the club.
It is understood that boss Owen Coyle is only prepared to lose him if he gets the possible price.
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