According to reports in Italian newspaper Corriere dello Sport Mourinho has highlighted the Uruguayan international as a possible summer target, if Jan Vertonghen leaves the club.
Godin rejected a move to Mourinho’s Manchester United back in 2018, after confirming his intention to see out his contract in Madrid.
However, after failing to agree an extension with Diego Simeone’s side last year, he moved on to Inter last summer.
But the 34-year old has not featured regularly under Antonio Conte so far in 2019-20, with just 12 Serie A starts.