That is according to Gazzetta dello Sport, who claim the Inter Milan supremo has phoned Mourinho to sound him out about a return and make him aware of his interest.
Mourinho is set to leave Real Madrid this summer after alienating figures there with his antics.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.