  The first data released by the KamLAND collaboration have confirmed the
strong evidence in favour of the LMA solution of the solar neutrino problem.
Taking into account the ranges for the oscillation parameters allowed by the
global analysis of the solar, CHOOZ and KamLAND data, we update the limits on
the neutrinoless double beta decay effective neutrino mass parameter and
analyze the impact of all the available data from neutrinoless double beta
decay experiments on the neutrino mass bounds, in view of the latest WMAP
results. For the normal neutrino mass spectrum the range (0.05-0.23) eV is
obtained for the lightest neutrino mass if one takes into account the
Heidelberg-Moscow evidence for neutrinoless double beta decay and the
cosmological bound. It is also shown that under the same conditions the mass of
the lightest neutrino may not be bounded from below if the spectrum is of the
inverted type. Finnaly, we discuss how future experiments can improve the
present bounds on the lightest neutrino mass set by the Troitsk, Mainz and WMAP
results. In the addendum we update the allowed ranges for the effective
Majorana neutrino mass parameter in view of the latest NC enhanced SNO data.
