The Italians are reportedly keen on a deal but the cost to secure the forward may prove difficult to overcome.
The Bosnian’s future at Manchester City is unknown at present, with Sergio Aguero the undisputed number one at the Etihad and the club also signing Wilfried Bony in the January transfer window.
That has likely pushed Dzeko further down the pecking order, and he may seek a move away from the club to somewhere he will be guaranteed playing time.
That has allegedly alerted Roma, who are keen to add a forward to their ranks this summer and are hopeful on striking a deal for the forward, although it may prove a difficult move, according to the report in Il Tempo.
In terms of cost, it seems City would want as much as £17 milllion to secure the forward, which would prove a loss on the £27 million they paid for his services back in 2011.
Wages would also likely prove an issue, with the player currently earning around £4 million a year at City and Roma unlikely to be able to offer those kind of terms, although they could offer a long deal with a number of bonuses to boost his salary instead.
Should Manchester City allow Edin Dzeko to leave?
The question of whether Manuel Pellegrini should allow Dzeko to leave City is a difficult one to answer.
He has been second or third choice at the club since his arrival and despite impressing in periods, has failed to establish himself well enough to warrant a start ahead of Sergio Aguero.
City also have Bony and Stevan Jovetic on their books, so a sale would make sense for the club as it would not harm their squad too much, while it would also give them extra leeway in complying with the strict Financial Fair Play rules.