The Brazilian-born striker scored 15 league goals for the Amaranto last campaign, but he could not prevent them from finishing bottom of Serie A.
With Livorno's fate sealed, Paulinho's agent, Andrea Bagnoli, has said that the striker would like to move to the Premier League.
"Paulinho has expressed a desire to go to play in England and we are evaluating some opportunities," Bagnoli is quoted as saying by Sky Sports. "We are at the beginning of the market and it is still early to say where he will play."
Stoke City, Crystal Palace and Queens Park Rangers are all said to be interested in securing the services of the striker.