Representatives for Olivier Giroud met up with Roma's technical director Tiago Pinto on Friday over a potential summer move, according to reports.
The Chelsea striker is entering the final few months of his contract at Stamford Bridge and has been attracting interest from several Serie A clubs.
However, according to La Gazzetta dello Sport, Roma's main target for the summer is AZ Alkmaar midfielder Teun Koopmeiners - which could see them pass on Giroud.
Chelsea manager Thomas Tuchel is looking to add more firepower to his front line in the summer and is keen on both Borussia Dortmund's Erling Braut Haaland and Manchester City's Sergio Aguero.
Giroud has failed to land a starting place under the German boss, and also was on the fringes at Chelsea with Frank Lampard.
Due to his lack of game time, the 34-year-old is highly unlikely to renew his deal in London as his agent has began talks with clubs abroad.
Giroud has played 14 Premier League matches this season and scored four goals.
Sportsmail revealed that Chelsea are leading the race to sign Aguero, a possible replacement for Giroud's imminent departure, but they will have some fending off to do to land his signature.
Real Madrid and Barcelona are among the other names showing an interest in the Argentine, who will also be available on a free this summer.