By the 24th century, the entire species was dying from deteriorating cells. One remedy for their condition was deuridium. Rao Vantika attempted to steal a shipment of deuridium from the Gamma Quadrant in 2369 but was hunted down by Kobliad Security officer Ty Kajada. (DS9: "The Passenger")
According to the Star Trek: Star Charts, on page 47, the Kobliad were from the Kobliad star system. This system was a binary star system. Both the primary and the secondary stars were both F-type stars. This system was located in the Alpha Quadrant.