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That Peter died and was buried in Rome is a matter of historical record.
The archeological proof of the existence of St. Peters tomb under St. Peters basilica in Rome.
"Nero...publicly announcing himself as the first among God's chief enemies, he was led on to the slaughter of the apostles. It is, therefore, recorded that Paul was beheaded in Rome itself, and that Peter likewise was crucified under Nero. This account of Peter and Paul is substantiated by the fact that their names are preserved in the cemeteries of that place even to the present day. It is confirmed likewise by Caius, a member of the Church, who arose under Zephyrinus, bishop of Rome [about 200 AD.]. He, in a published disputation with Proclus, the leader of the Phrygian heresy, speaks as follows concerning the places where the sacred corpses of the aforesaid apostles are laid: "But I can show the trophies of the apostles. For if you will go to the Vatican or to the Ostian way, you will find the trophies of those who laid the foundations of this church." And that they both suffered martyrdom at the same time is stated by Dionysius, bishop of Corinth, in his epistle to the Romans, in the following words: "You have thus by such an admonition bound together the planting of Peter and of Paul at Rome and Corinth." [Eusebius, [A.D. 303] (Church History 2:25:5-8)]
Would you put the writings of Eusebius in the 4th century on the same level as the Scriptures of the 1st century? Was Eusebius ever wrong? What are his 1st century sources for his statements or is a lot of it hearsay and myth?