It depends if the America trademark covers America and the rest of the world. A trademark has two parts, the log and text. If they trademark the domain, that is one part of it. Most Trademarks have to have a class or many classes. Each class describes a category of good like apparel and what is within that apparel minus what is not include - mittens, gloves, woollen hats... minus surgical gloves, surgical hats etc. Basically, it depends on the details of the Trademark and whether it has included Greece as a country where it has been registered and approved.