Any deal could be complicated by the claim that Roma manager Luciano Spalletti has said the 28-year-old has given his word to continue playing for the club and that they are prepared to offer a new deal to the player.
Incoming Chelsea manager Antonio Conte has reportedly made it a priority to sign him as he tries to change the dynamic of the midfield to suit his needs going into next season.
It is interesting that Conte is keen to bring in a midfielder that he knows well given his role as Italy coach and paying close attention to Serie A - as well as his previous role in managing Juventus. He clearly wants players that he is familiar with to implement his style of play.
Conte has a big task ahead of him as he looks to ensure that Chelsea bounce back from a dreadful season where they finished ninth in the Premier League on the back of a title win.
Clearly there are likely to be several new faces arriving at the club as well, but the determination to land Nainggolan shows that he would be an important figure under the Italian at Stamford Bridge.