  In this paper we analyze the neutrinoless double beta decay predictions in
some scenarios with admixture of pseudo-Dirac and Majorana neutrinos in the 3
and 3+1 neutrino frameworks. We found that some of the cases can be falsifiable
in near-term and future generations of neutrinoless double beta decay
experiments even for the normal neutrino mass hierarchy. In the 3+1 framework
we consider the sterile neutrino with a mass of the order of 1 eV. The
complementarity between cosmological constraints and the future sensitivity for
the next generations of the neutrinoless double beta decay searches is
exploited.
