The semiclassical Wigner treatment of bimolecular collisions, proposed by Lee and Scully on a partly intuitive basis [J. Chem. Phys. 73, 2238(1980], is derived here from first principles. The derivation combines E. J. Heller's ideas [J. Chem. Phys. 62, 1544(1975 65, 1289(1976 75, 186 (1981)], the backward picture of molecular collisions [L. Bonnet, J. Chem. Phys. 133, 174108 (2010)] and the microreversibility principle.