Roberto Martinez's side are jostling with a foreign club to sign the Potters captain before the transfer deadline, with the Toffees having conceded six goals to Chelsea on Saturday
Everton have made a bid to sign Stoke City defender Ryan Shawcross, Goal understands.
The 26-year-old centre-back, who has one England international cap to his name from 2012, is also interesting another club from overseas.
The Toffees conceded six goals to Chelsea in a 6-3 Premier League defeat on Saturday, a result which has spurred Roberto Martinez into action ahead of Monday’s transfer deadline.
Shawcross, a former Manchester United trainee, joined Stoke initially on loan in 2007 before making the switch permanent a year later.
He has since made over 200 Premier League appearances for the Potters, becoming club captain in 2011.