In 2269, Catulla and the Federation were engaged in treaty negotiations. On stardate 5832, the negotiation period had reached a critical phase, but was threaten to be impacted by the actions of the son of the Catullan ambassador to the Federation, Tongo Rad. (TOS: "The Way to Eden")
According to Star Trek: Star Charts ("United Federation of Planets I & II"), in 2378, Catulla was a Federation member. The planet was located in the Theta Pictoris planetary system. The system was a single star system. The star Theta Pictoris was a G-class star with a magnitude of +5, which was the same brightness as Sol. The system was located in non-aligned space.