Mourinho admits he's seeking a new centre-forward signing after losing Harry Kane for four months due to hamstring surgery.
Mundo Deportivo says Willian is under consideration, though as yet no offer has been tabled.
For their part, La Real are insisting the Brazilian won't leave for anything less than his €70m buyout clause.
Interestingly, a management firm holds 30 per cent of Willian's registration and it's suggested they're now pushing to cash in this month.
The striker has contract at La Real to 2024.