I will discuss several phenomenological aspects of the supersymmetric version of the triplet-seesaw mechanism for neutrino mass generation. After a brief introduction, some features regarding the predictivity of the mechanism will be emphasized and the predictions regarding several lepton flavour violating (LFV) processes presented. Some examples of such processes are: radiative ($l_j \to l_i \gamma$) and three-body LFV charged-lepton decays ($\mu\to 3e, \tau \to 3\mu$, etc). The dependence of the results on the low-enery neutrino parameters (mixing angles, masses and CP-phases) will be analysed. In the second part of the seminar, I will focus on the renormalization group corrections induced on the neutrino mass and mixing parameters due to the presence of the heavy triplet states. The impact of these ``running effects'' on the rates of the above mentioned LFV processes will be briefly discussed.