The Brazilian giants already boast Roberto Carlos and Ronaldo and it's been revealed Trezeguet is also keen.
Former Inter Milan star Roberto Carlos said: "Last week I received a call from my friend from France, who is a close friend of Trezeguet.
"He told me that David would be available to play for Corinthians.
"He isn't talking about other clubs but just Corinthians. He wants to play here in Brazil."
France international Trezeguet is actually Argentine-born.