  Two Higgs Doublet Models (2HDM) are popular extensions of the Standard Model
for several reasons, but do not explain neutrino masses. In this work, we
investigate how one can incorporate neutrino masses within the framework of the
2HDM-U(1), where U(1) is an abelian gauge symmetry used to nicely address the
absence of flavor changing neutral currents in 2HDM. In particular, we explore
realizations of the type I and type II seesaw since they are mechanisms that we
dote on for being able to generate elegantly small active neutrino masses. We
show that one can build several models featuring type I, type II and type I+II
seesaw mechanism with different phenomenological implications.
