He was the first professor of histology in the faculty of medicine at the University of Montpellier.
[1] Vialleton rejected any form of continuous evolution and favoured saltationism.
[2] Vialleton attempted to refute gradual transformism from a morphological perspective in his work Morphologie générale Membres et ceintures des vertébrés tétrapodes: Critique morphotogique du transformisme (1924).
[3] Zoologist Étienne Rabaud responded with a critical article.
[6] He was also incorrectly described as a critic of evolution by A. Morley Davies.