The Serie A outfit has turned its attention to the Netherlands international, while it is also keen on his PSV teammate Dries MertensKevin Strootman could be on his way out of PSV this summer, as Napoli has shown an interest in luring the midfielder to Serie A ahead of the 2013-14 campaign.
The Netherlands international has long been linked with a move to a bigger league, with Manchester United among the teams keeping a close eye on the 23-year-old.
Nevertheless, Napoli now seems to be leading the race for Strootman, who is currently in action at the European Under-21 Championship.
"Napoli's interest is pretty serious. They have already approached us," Strootman's agent Chiel Dekker told Voetbal International.
"Kevin's focused on the Under-21 Euros for now, though."
A move to Napoli is by no means a certainty yet, however, as Strootman's preference remains a move to the Premier League.
"Kevin's never made it a secret that he has a preference for the Premier League," added Dekker.
The midfielder has a contract with PSV until the summer of 2016, but could be available for a fee in the region of 15 million euros.
Meanwhile, Napoli is closing in on Dries Mertens as well, as it sees the PSV winger as a valuable addition to its attack.
Sporting director Riccardo Bigon travelled to Netherlands earlier this week to open talks with the Belgium international and is hopeful that a 10 million euro offer will be enough to lure Mertens to the Stadio San Paolo.
The 26-year-old is under contract with his current club until June 2016.