Although the Argentine only left Napoli for PSG less than a year ago, reports on Tuesday are suggesting that he could soon be back in Serie A.
Lavezzi has travelled to Milan this week where he dined at the Giannino restaurant, an establishment that is heavily used by Diavolo personnel.
The Gazzetta dello Sport claims that Lavezzi and his family are looking for a house in the Milan area.
The Corriere dello Sport has also linked Milan with the 27-year-old.
The South American spent five years with the Azzurri before leaving the peninsula last summer for a fee reported to be around the €29m mark.
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