Borriello is in co-ownership at Genoa with AC Milan and has indicated a reluctance to return to the Rossoneri in the summer.
Corriere della Sera says during negotiations for Genoa winger Abdoulay Konko, Inter have sounded out their Serie A rivals about the prospect of signing Borriello.
Genoa are open to the deal and have asked about taking over Inter's 50 per cent in Cagliari star Roberto Acquafresca.