The 27-year-old rescinded his contract with Inter in April and returned to Brazilian side Flamengo.
Adriano has impressed in Brazil and has scored 17 goals so far this season.
Roma coach Claudio Ranieri has admitted the club is looking to bring in a striker in the January transfer window.
“We have said that we are looking for a target man, but I am not speaking with the club or the newspapers,” he explained.