  We consider a class of $\text{SO}(10)$ models with flavor symmetries in the
Yukawa sector and investigate their viability by performing numerical fits to
the fermion masses and mixing parameters. The fitting procedure involves a
top-down approach in which we solve the renormalization group equations from
the scale of grand unification down to the electroweak scale. This allows the
intermediate scale right-handed neutrinos and scalar triplet, involved in the
type I and II seesaw mechanisms, to be integrated out at their corresponding
mass scales, leading to a correct renormalization group running. The result is
that, of the 14 models considered, only two are able to fit the known data
well. Both these two models correspond to $\mathbb{Z}_2$ symmetries. In
addition to being able to fit the fermion masses and mixing parameters, they
provide predictions for the sum of light neutrino masses and the effective
neutrinoless double beta decay mass parameter, which are both within current
observational bounds.
