Sky Sport Italia have claimed that the Romanian will spend the rest of the campaign at the Stadio Olimpico.
The report, which was republished on TuttoMercatoWeb, states that a temporary deal is set to be agreed, with a race against time to confirm terms before the transfer window closes.
The Romania international has not been an automatic first-choice at White Hart Lane this season, with Mauricio Pochettino preferring Jan Vertonghen, Federico Fazio and Eric Dier ahead of the former Steaua Bucharest defender.
Chiriches has been forced to play at right-back on occasion as a result, and has only started five Premier League games for the North London club this season.
The Romania international has failed to settle since a move to England last summer, with Chiriches’ form contrasting between the brilliant and the ridiculous over the last 18 months.
At times the 25-year-old has looked assured in the heart of Tottenham’s defence and comfortable on the ball, with his best performance arguably in the away win over Manchester United last season.
However, more often than not Chiriches has been guilty of a lack of concentration and effort, while he has been guilty of some calamitous errors since his move to Tottenham.
Rudi Garcia’s Roma are looking to strengthen their squad to challenge Juventus for the Serie A title, and announced the addition of Seydou Doumbia yesterday.