Strange to hear that there is no limit to companies with the same name. Over here years ago there was a shoe store and a clothing store with the same first name. I believe one was forced to add a line stating that they were not associated with the other so consumers did not get confused.
When I went to register my company the State did a check to see if the name was available.Luckily it was, otherwise I would have needed another name for the company. They also checked for similar names so no one would get confused.