No official announcement about the bones found on the wreck Thursday has been made, but one is expected soon, the Italian news agency ANSA reported Friday.
At least 32 people died when the ship hit rocks off the island of Giglio, but only 30 bodies were recovered. The remains of passenger Maria Grazia Tricarichi and crew member Russel Rebello have not been found.
Italian Civil Protection Commissioner Franco Gabrielli castigated the press for being "too hasty" in reporting the find.
"It is still not possible to say they are of human origin, still less to say they belong to someone in particular," he said.
The bones are undergoing DNA testing at a hospital in Grosseto.
Martin Bashir resigns from MSNBC over Sarah Palin comments
Florida bear attack: Black bear mauls woman's face