We study the lepton-flavor violation processes tau --> mu gamma and mu -->
e gamma in two different examples of models with non-universal soft breakin
g terms derived from strings. We show that the predictions are quite differ
ent from those of universal scenarios. Non-universal A-terms provide an int
eresting framework to enhance the supersymmetric contributions to CP violat
ion effects. We observe that in the case of the lepton-flavor violation we
study, the non-universality of the scalar masses enhances the branching rat
ios more significantly than the non-universality of the A-terms. We find th
at the current experimental bounds on these processes restrict both the par
ameter space of the models and the texture of the Yukawa couplings which pr
edicts the lepton masses, providing at the same time an interesting experim
ental test for physics beyond the Standard Model.