Roma are the favourites ahead of Milan, Juventus, Manchester United, Arsenal, Tottenham and Chelsea for Justin Kluivert, claim Dutch reports.
The son of former Rossoneri man Patrick Kluivert has been very impressive at Ajax and turned 19 this week.
So far this season, he has contributed 10 goals and five assists in 30 Eredivisie matches.
He is able to play on the left or the right wing.
According to Dutch site VI.nl, Kluivert is heading towards Serie A with Juventus and Milan also interested, but Roma are considered the favourites.
His contract is due to expire in June 2019 and negotiations with agent Mino Raiola have dragged on for months.
See the latest Serie A predictions and betting tips with Eurotips.co.uk