Travel in foreign capital, reportedly (4)
I believe the answer is:
roam
'travel' is the definition.
(I know that roam is a more specific form of the action the travel)
'foreign capital reportedly' is the wordplay.
'foreign capital' becomes 'Rome' (capital of Italy).
'reportedly' indicates a 'sounds like' (homophone) clue.
'rome' sounds like 'ROAM'.
'in' is the link.
(Other definitions for roam that I've seen before include "Prowl" , "Move about aimlessly" , "'Wander, ramble (4)'" , "Travel widely" , "Rove or ramble" .)