Albrighton comes off contract at Villa next month.
The 24-year-old wideman is admired by Roberto Martinez and the Toffees boss is ready to offer him a fresh start at Goodison Park, says the Birmingham Mail.
Albrighton is keen to wait until the uncertainty surrounding the club’s future is resolved before committing himself to a deal.
There are also believed to be a string of Championship clubs monitoring Albrighton’s situation.
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball