The type species of Teffichthys is Perleidus madagascariensis from the Induan of Madagascar. Perleidus is a Middle Triassic genus; Early Triassic species were referred to this genus based on superficial similarities. In 2017, the genus Teffichthys was erected for "Perleidus" madagascariensis, and the second species from Madagascar ("Perleidus" piveteaui) was synonymized with Teffichthys madagascariensis. Other Early Triassic species currently ascribed to Perleidus might be referrable to Teffichthys, too.[2] Another species, T. elegans, was described from the Early Triassic Guiyang biota of South China.[1]