Fabio Borini has insisted that he will fight for a place at Liverpool, but Inter want to bring him back to his homeland if they can get the price down.
Borini rejected possible moves to Queens Park Rangers and Sunderland this summer but he may have been tempted by Serie A side Inter.
Inter had intended to put in an offer on deadline day, but they were unable to free up the money because the sale of Fredy Guarin to Valencia fell through.
The Nerazzurri are expected to come looking for Borini in January, but the financial aspect will be difficult. It is estimated that Liverpool value Borini at between £12 million and £15 million.
"We made an approach in the summer, but then we signed Pablo Daniel Osvaldo who was coach Walter Mazzarri's first choice."
The most likely way that Inter could get their hands on Borini would be a loan until the end of the season, which may also suit Liverpool and the player if he remains peripheral at Anfield.