In the most literal sense of the word, he is travelling, but that doesn’t seem to be the primary purpose he’s there.
He’s been staying in this tourist town for weeks, but he hasn’t seen any of the sites, nor has he done a tour.
It’s obvious to you he has another agenda but you have no idea what it is.
It’s not like he seems threatening, you just don’t know why he is there and he’s not at liberty to tell you.
Who are you mystery man?