Concavodonta is known solely from late Ordovician, Caradoc epoch, fossils found in Europe and South America.

[2] The type species for the genus, Concavodonta ponderata, has been found in Middle to late Ordovician, Caradoc epoch sediments of Europe.

The fossils are found in sediments of the late Ordivician, Cautleyan aged Killey Bridge Formation which outcrops near Pomeroy, County Tyrone in Northern Ireland.

The formation outcrops on the flank of Sierra de Villicum in the Argentina precordillera.

[3] The overall shape of C. ovalis shells, oval, is the base for the etymology of the specific name.