  We explore the potential of a selected model of radiative neutrino masses to
be implemented in a renormalizable SU(5) unification framework. The Zee-type
model under consideration uncovers the SU(5) representations in which the new
fields are embedded and which may contain also other light states leading to
the unification of gauge couplings. We perform an exhaustive search which
reveals specific patterns of new states and demonstrate that such patterns are
consistent with a general choice of relevant scalar potential. It turns out
that all of the specific scenarios which lead to successful unification include
the colored scalars testable at the LHC.
