  We re-analyse current single-field inflationary models related to primordial
black holes formation. We do so by taking into account recent developments on
the estimations of their abundances and the influence of non-gaussianities. We
show that, for all of them, the gaussian approximation, which is typically used
to estimate the primordial black holes abundances, fails. However, in the case
in which the inflaton potential has an inflection point, the contribution of
non-gaussianities is only perturbative. Finally, we infer that only models
featuring an inflection point in the inflationary potential, might predict,
with a very good approximation, the desired abundances by the sole use of the
gaussian statistics.
