  The compelling experimental evidences for oscillations of solar and
atmospheric neutrinos imply the existence of 3-neutrino mixing in vacuum. We
briefly review the phenomenology of 3-neutrino mixing, and the current data on
the 3-neutrino mixing parameters. The open questions and the main goals of
future research in the field of neutrino mixing and oscillations are outlined.
The predictions for the effective Majorana mass |<m>| in neutrinoless double
beta (bb0nu-) decay in the case of 3-neutrino mixing and massive Majorana
neutrinos are reviewed. The physics potential of the experiments, searching for
bb0nu-decay and having sensitivity approximately 10 times better than the
presently reached, for providing information on the type of the neutrino mass
spectrum, on the absolute scale of neutrino masses and on the Majorana
CP-violation phases in the PMNS neutrino mixing matrix, is discussed.
