According to reports from Italy cited by The Daily Express, the Argentine forward is looking for a five-year deal worth in the region of £76,000-per-week - a figure that Juve are said to be hesitant to match, with the potential outlay increased by the fact that Paris Saint-Germain are looking for a fee of £18 million to allow Lavezzi to depart the Parc des Princes this summer.
PSG exit imminent?
29-year-old Lavezzi - who impressed for Argentina during their run to the World Cup final in neighbouring Brazil last month - only joined PSG from Serie A outfit Napoli in 2012, with the French giants shelling out around €30 million to get their man.
Lavezzi's time in Ligue 1 has been quite successful in terms of silverware, with the former Estudiantes starlet winning consecutive French titles along with the Coupe de la Ligue and the Trophe des Champions.
His goal return has left a lot to be desired, however, and now it looks likely that he will be free to leave PSG with Laurent Blanc and co seemingly intent on securing an impressive deal that would see Real Madrid playmaker Angel di Maria join the club.
Watch: The latest Chelsea transfer news
Chelsea and Liverpool chance
While Juventus were previously thought to be in pole position to land Lavezzi, a reluctance to meet his financial needs could just allow Chelsea and Liverpool - both of whom have also been credited with an interest in the player in recent weeks - back into contention.
Both clubs have been very busy in the transfer market already since the 2013/14 season drew to a close, with both Jose Mourinho and Brendan Rodgers eager to make significant changes to their respective squads ahead of a renewed title push.
The forward areas have been a particular area of focus for both managers, with Chelsea having allowed Romelu Lukaku, Demba Ba and Samuel Eto'o to depart Stamford Bridge and signed Diego Costa and Didier Drogba as replacements.
Liverpool, meanwhile, commenced their summer spending with the purchase of England international forward Rickie Lambert from Southampton, but saw their hopes of remaining in contention for honours take a sizeable hit following the sale of striker Luis Suarez to Barcelona.
While not a natural striker, Lavezzi is a skillful and versatile operator who could well thrive in the Premier League.
If Chelsea or Liverpool do intend to pursue a deal, however, it looks as if they will have to be willing to spend big to make it happen.