It is known from a relatively complete skull and lower jaw, discovered in the Late Permian Tapinocephalus Assemblage Zone of the Beaufort Group of South Africa.

[2] [3][4] Further research into the morphology, phylogenetics, and ecology of Bullacephalus and other Burnetiamorpha will likely continue to yield insights into the evolution of therapsids and the complex history of life on Earth.

Despite the limited amount of fossil material available, Bullacephalus has generated considerable interest among paleontologists due to its unique morphology and uncertain taxonomic classification.

Currently, the Burnetiamorpha comprise nine genera: Bullacephalus, Burnetia, Lemurosaurus, Lobalopex, Lophorhinus, Paraburnetia, and Pachydectes from South Africa.

Its unique morphology, particularly its short snout and septomaxilla, have led researchers to speculate about its feeding habits and ecological niche.