Imagine the first sentence in a news report, where X and Y are company names:
Czech company X and Tatarstan-based Y have signed an agreement..
Would it be okay to omit the articles? Or would it look better as
The Czech company X and the Tatarstan-based Y have signed an agreement..
It seems to me that without the articles it looks more natural. We're introducing the companies, after all, and it is clear that there are more than one company existing in both the Czech Republic and Tatarstan.
I've googled Google News and found this:
Two other auto manufacturers that are zeroing in on Israel are Spanish company SEAT and Czech company Skoda.
In the next presentation Andrey Denisyuk from the Czech company TESCAN talked about correlative microscopy techniques for electron...
The subcontractor of Spartans is the Czech company Aero Vodochody, which is owned by Penta investment group.
The last two examples could've been written by non-native speakers, but they seem to be okay too..