Is it possible to get into trouble running a business here with a same name as a business in the US (or any other country outside EU) providing same/similar services? I'm talking about small business, no registered trademarks and no products brands involved. Just wondering what happens if the other business is not happy about this and what can they legally do. I did see number of businesses over years with the same names (and providing same/similar services) in different countries so perhaps it's not a problem unless they have trademark registered in this country?