These elephant-like ungulates include the genera Baguatherium, Carolozittelia, Colombitherium, Griphodon, Propyrotherium, Proticia, and Pyrotherium.

[1] They had the appearance of large, digitigrade, tapir-like mammals with relatively short, slender limbs and five-toed feet with broad, flat phalanges.

Their fossils are restricted to Paleocene through Oligocene deposits of Brazil, Peru and Argentina.

Some experts place the clade Xenungulata (which contains several genera, including Carodnia) within Pyrotheria, even when dentition, although bilophodont in both orders, is very different.

Affinities with the Dinocerata are strongly supported by the dental characteristics.