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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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.