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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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?