Antonio Conte's side made an attempt to sign the 31-year-old in the January transfer window but he feels comfortable in Rome and is happy to stay
Edin Dzeko has admitted he was flattered by Chelsea's attempts to sign him in January, but could not bring himself to leave Roma.
The Blues targeted the striker as they sought a backup option for Alvaro Morata, but their initial bid was deemed "not interesting" by Roma technical director Monchi.
After signing Emerson Palmieri from the Italian side, Chelsea remained hopeful of luring Dzeko to the capital until the final days of the transfer window but eventually turned their attention to other options and signed Olivier Giroud from Arsenal.