  In this work we discuss the neutrino mass dependent nuclear matrix element
(NME) of the neutrinoless double beta decay process and derive the limit on the
parameter space of the minimal Type-I seesaw model from the current available
experimental data as well as the future sensitivities from the next-generation
experiments. Both the explicit many-body calculations and naive extrapolations
of the mass dependent NME are employed in the current work. The uncertainties
of the theoretical nuclear structure models are taken into account. By
combining the latest experimental data from $^{76}$Ge-based experiments, GERDA
and MAJORANA, the $^{130}$Te-based experiment, CUORE and the $^{136}$Xe-based
experiments, KamLAND-Zen and EXO-200, the bounds on the parameter space of the
minimal Type-I seesaw model are obtained and compared with the limits from
other experimental probes. Sensitivities for future experiments utilizing
$^{76}$Ge-based (LEGEND-1000), $^{82}$Se-based (SuperNEMO), $^{130}$Te based
(SNO+II) and $^{136}$Xe-based (nEXO), with a ten-year exposure, are also
derived.
