Neutrino oscillations provided the first evidence for the violation
of flavour in the lepton sector, and established a clear need to
consider extensions of the Standard Model. Many new phenomena can emerge
from these New Physics (NP) constructions, among which processes
violating lepton number and charged lepton flavour, all clear signals of
New Physics. Following a short overview of the status of experimental
searches, we comment on the prospects of several models of massive
neutrinos, from minimal constructions to complete NP models, to the
above mentioned observables.