With 25 games bringing a return of two goals and six assists, Bertolacci has been working his way into the Azzurri national plans, winning his first cap in November 2014, and registering an assist in his second game - a 2-2 draw with Bulgaria last week.
Valencia are also named in the report as showing an interest in the playmaking midfielder, and it looks a straight fight between the pair for the talents of the now-capped international.
Any potential transfer will be made harder due to the co-ownership rules in place in Italy.
Having moved to Genoa from Serie A giants Roma in 2012, Rudi Garcia’s men kept a share of his rights, meaning that any interested party will have to agreed a deal with both Genoa and the Giallorossi to secure his signing.
Do Everton need Bertolacci?
With top class playmaking midfielders a premium in European football, it is likely that any club would be looking to sign someone who can both score goals and create them. If able to secure Bertolacci for a small fee - unlikely with his rise in prominence and the co-owenership deal - then the Toffees should definitely move for him.
However, the midfield position at Goodison Park is well stocked, and the club would do better to look as strengthening the weak areas first - with defensive and striking positions in real need of some serious recruitment.