Where did St. Paul go after Rome?

A:

The Muratorian Fragment states that Paul travelled from Rome to Spain, but this text can not be dated earlier than 170 CE, so would not be proof without independent confirmation. In possible support of this, Clement of Rome, writing about 96 CE (1 Clement), says that Paul lastly preached in the far reaches of the west (Spain), and Paul would surely have stopped over in Rome before proceeding to Spain.

A second-century tradition says that Paul was executed by Nero in Rome around 65 CE, thus suggesting that he never left Rome and that his remains would still be somewhere in Rome as claimed by the Catholic Church. Not only does this tradition seem to contradict what little documentary evidence we have, but the Pastoral Epistles seem to suggest that Paul was in Asia Minor at about this time, which means that the author(s) was unaware that Paul had already been executed.