> I already know of two companies in different countries which have the very same name as I occasionally receive emails written to them on my catch-all email address
If they ever decide to do business in your country, expect them to want their name. They will probably take you and your registrar to court, but in the end, they will have to pay you for the name.
Domains don't cost a lot, but I would just take what they offer you, don't try to fleece them because you got there first.
I would look at another domain name as a fallback should any of this happen, but just keep in mind that it's a possibility.
If they ever decide to do business in your country, expect them to want their name. They will probably take you and your registrar to court, but in the end, they will have to pay you for the name.
Domains don't cost a lot, but I would just take what they offer you, don't try to fleece them because you got there first.
I would look at another domain name as a fallback should any of this happen, but just keep in mind that it's a possibility.