Rossi is considering a return to Italy this summer.
"We know that President Aurelio De Laurentiis has approached Villarreal to enquire after Rossi, but we are talking about seven or eight months ago," explained Andrea Pastorello on calciomercato.it.
"Napoli's interest is gratifying. They are one of the biggest clubs in Italy, not to mention one of the few who spend big money on the transfer market.
"Giuseppe is very happy at Villarreal and this is the side that launched him at the highest level, but that doesn't exclude the fact he'll consider other options if something good comes along."