Donnarumma, 25, left Milan as a free agent for Paris Saint-Germain in the summer of 2021.
The Italian goalkeeper signed a contract until the summer of 2026.
Sky Italia reports that Milan's rival is increasing its interest. Inter contacted Donnarumma's representatives this summer to discuss a possible transfer.
It is possible that the goalkeeper will return to Serie A after the season, but it all depends on how negotiations with PSG develop.
Inter are looking for a new goalkeeper as Yann Sommer has turned 36.
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