Are there any authentic Prophetic narrations (hadiths) from the Prophet, peace and blessings be upon him, that foretell the conquest of Rome, and does the current presence of Muslims in Rome constitute a fulfillment of those narrations, or has Rome not yet been conquered?

It was narrated from the Messenger of Allah, may Allah’s prayers and peace be upon him, that he foretold the conquest of Rome. Abdullah bin Amr bin Al-Aas, may Allah be pleased with them both, said: The Messenger of Allah, may Allah’s prayers and peace be upon him, was asked: Which of the two cities will be conquered first: Constantinople or Rome? He said: “The city of Heraclius will be conquered first,” meaning Constantinople.