The Kobheerians appear to have maintained a relationship with the Cardassians, as Kobheerian freighters were allowed to travel somewhat freely in Cardassian space in the late 2360s and early 2370s, but not without the occasional search. (DS9: "Second Skin")
Some Kobheerians had a lighter shade of skin and hair. (DS9: "Dramatis Personae") Kobheerians shared a resemblance to the Dopterian species – Kobheerians had two large, elongated flat nostrils in the place of a nose, while Dopterians had Ferengi-like noses.
According to Star Trek: Star Charts (p. 46) and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"),, there was a star system named Kobheeria, which might possibly be the system of origin for this species, in the Alpha Quadrant. This was a binary system with a pair of A-class stars.