  In this contribution we outline the correlation between intergenerational
slepton mass splittings and low energy lepton flavour violation in
supersymmetric type-I and type-III seesaws, and illustrate how the combination
of these two sets of observables could strengthen or disfavour a high-scale
seesaw as the explanation of neutrino masses and mixings. This contribution
summarises part of the analysis presented in arXiv:1007.4833 and
arXiv:1104.3962.
