We have a company name and when we first registerd our domain name we couldent have our company name as a domain name, but last month a company in recruitment same as us, but not the same field asked us could they register the domain name that is the same as our company name, we said no and registerd them.
With out trademarks and or copyright they can be liable becuse they are using your company name to gain customers and profit from misleading customers looking for you.
Speak to you national or local advice bureu if you have one or an internet lawyer who will give advice for free.