Borini netted 10 times in all competitions while on loan to Sunderland and played an important role in the drastic upturn in the Black Cats' fortunes.
The 23-year-old could get a chance to impress at Liverpool next season thanks to Brendan Rodgers' side having a Champions League campaign to wage.
And the player's agent Marco De Marchi has stressed that he doesn't expect Borini to move in the summer.
"There have been approaches from several countries, including Italy.
"I have not spoken to Brendan Rodgers yet but the player is tied to Liverpool by contract for another two years and at the moment I don't see that he could leave.
"Anyone who wants Borini will have to talk to Liverpool but I know he would like to continue his Premier League adventure because it's a style of football that suits him perfectly."
Despite his efforts this season, Borini won't be headed to the World Cup with Italy having failed to make Cesare Prandelli's squad.
"When you do everything you can and you know certain things aren't down to you then you can rest with a clear conscience," De Marchi insisted.
"I don't know if anyone from the national team came and watched him. There are lots of great attacking options in Italy's squad: Alessio Cerci, Ciro Immobile and Mattia Destro, but I don't think there's anyone who has the same characteristics as Fabio."