River have made an offer to Del Piero for next season.
"I've been in touch with him as we have been friends for a long time, but we didn't discuss River Plate," said Trezeguet.
"I saw his interview in which he said he admired South American football, but we didn't talk about that. He has my number and he can call me whenever he wants if he has any questions about the club.
"Given that I know him, I can say that his objectives are the same as what ours are over here, but we shouldn't live with illusions..."