The wheels look quite familiar. Like the radiator outline everything point in the direction of Delage D8, Delahaye maybe. The extravagant racy body may be a chop down of a convertible or coupe.
UPDATE by editor: Thank you Christian Rambert! It's the 1937 Delage D6 70 by Letoruneur et Marchand known from the Rallye du Maroc "La Saterelle" (the Grashopper) currently being recreated by Cooper Technica in Chicago.