Reports in Italy claim Liverpool made an enquiry for Trezeguet after allowing Alberto Aquilani to join Juve on loan.
Reds boss Roy Hodgson is keen to bolster his attacking options before the close of the transfer window and he is believed to be considering a swoop for French international Trezeguet.
Trezeguet's future at Juve has been the subject of speculation for some time with the Frenchman dropping down the pecking order at the Bianconeri.
The player's agent, Antonio Caliendo, admits Liverpool and Spanish duo Real Zaragoza and Hercules are chasing Trezeguet's signature.
"An interest of Liverpool? There are requests, not just of Liverpool," Caliendo told calciomercato.it.
"In Spain there is the interest of Real Zaragoza and Hercules.
"We are considering [offers], today is a day of reflection, we will know more tomorrow."
Who wants him here? Great goalscorer but I never really liked him as a player. I think he'll be shit in England. He's also 33 now. Thoughts?