The French International is available this summer at Chelsea after having brought in colleague attackers Liam Delap, Jamie Gittens and Joao Pedro in recent weeks.
Manchester United and Bayern Munich have been connected to Nunku since the end of last season.
And now Gianluca di Marzio from Sky Italia reports that Inter has also shown interest for the former RB Leipzig star.
Everything will depend on the asking price of Chelsea, in which Inter wants to make various additions this summer, while they strive to re -build their team under the new coach Cristian Chivu.