The gifted youngster appears to be on his way out and seems destined to continue his career in Serie A.
The young midfielder, 19, has long been linked with a move away from PSG following his refusal to sign a contract extension, with clubs such as Arsenal, Juventus and AC Milan all closely monitoring his situation.
However, Roma appear to be sitting in pole position to lure Rabiot away from the Parc des Princes.
MORE: Alex Morgan upset at 159-degree temps | Transfer photos
"We want to think about it for a few more hours, but it's possible that Adrien leaves PSG for Roma," Al-Khelaifi told L'Equipe. "If the offer they presented us with is still on the table then who knows?"
Rabiot came through the ranks of the PSG youth academy and made his first-team debut at the age of 17 in August 2012.
He has since been unable to develop into an undisputed starter due to the stiff competition for places in midfield, though, and has therefore set his sights on a move elsewhere.
The youngster's existing deal with PSG is due to expire in the summer of 2015.