Villarreal, Champions League semi-finalists in 2006, suffered relegation from La Liga last term and are subsequently expected to lose some of their key players before the start of next season.
Rossi, who is undoubtedly one of Villarreal's key assets, is currently sidelined with a cruciate knee ligament injury that is likely to keep him until next year, but his representative Federico Pastorello does not believe this will deter clubs from attempting to secure his signature this summer.
"We are looking around to find the best solution that will be shared with Villarreal," Pastorello told Italian radio station Radio Kiss Kiss.
"Giuseppe will return [from injury] in February, and it is normal that the market can be accelerated in the last fortnight of August.
"Cost? Less than ten million, but I guess there will be a contract where there will be a fixed base and a very big portion in add-ons."
The White Hart Lane side were thought to have made enquiries about Rossi’s availability during the tenure of former manager Harry Redknapp.
However, they may have to tussle with Napoli, who have also registered their interest in the 25-year-old.
"Napoli? I do not exclude the transfer of Rossi to the club of [Napoli president Aurelio] De Laurentiis," Pastorello added.
"I cannot exclude this possibility. But now he’s a football player for Villarreal, that’s for sure. The market is open."