I started with Romania on my north side, and Hungary to my east, and from those borders I kept travelling as far southwest as I could, never turning.
Which country did I end up in?
Hint 1 (after the first full day):
@jafe might be able to buy a ticket that helps on this journey; most other PSErs would probably find hailing a taxi more useful.
There's a small hint in the comment section, and a huge hint right above it.
Hint 3 was in the bounty text, which is preserved as a screen shot above.