Ex Manchester United and Real Madrid man turns hand to Serie A as he gets ready to join Luis Enrique in the Italian capital
Sky Sport Italia and La Gazzetta dello Sport are both reporting the 33-year-old Argentine is on his way to the Eternal City to put pen to paper on a one-year deal.
Heinze announced his decision to leave the Ligue 1 club at the end of last season and will join Roma on a free deal.
Bologna were linked with his services, but it seems a sticking point over his €1 million per annum wage demands scuppered the move.
The former Real Madrid and Manchester United man is expected to sign a deal with the capital-based club once he arrives for a medical on Friday.
Heinze has been offered a one-year contract with the option to sign for a second term.