  We propose new solutions to the neutrino mass problem in theories with large
extra dimensions in a thick wall scenario. It has recently been argued that our
3-brane could be a thick wall at the boundary of the bulk. The gauge bosons and
the Higgs scalars have an almost flat profile on this wall, while fermions
could have localized profile with left-handed and right-handed components
displaced with respect to each other. We point out that with split fermions it
is possible to generate Majorana neutrino masses contributing to the
neutrinoless double beta decay. The almost degenerate neutrinos can also come
out naturally in this case. Unlike other models of neutrino masses in extra
dimensions there are no bulk fields in this scenario.
