Measurements of non-reciprocity of the reflectivity in a series of Cd1-x,MnxTe bulk crystals with different x values are presented. It is shown that in the Voigt configuration, the p-transitions do exhibit a non-reciprocal behavior. An additional feature due to so-far unknown transition is revealed which is tentatively ascribed as due to presence of clusters of Mn ions that give rise to an additional localization of excitons. An alternative possible origin of the additional non-reciprocity feature is also discussed.