  We study the universal conditions for quantum non-perturbative stability
against bubble nucleation for pertubatively stable AdS vacua based on positive
energy theorems. We also compare our analysis with the pre-existing ones in the
literature carried out within the thin-wall approximation. The aforementioned
criterion is then tested in two explicit examples describing massive type IIA
string theory compactified on $S^3$ and $S^3\,\times\,S^3$, respectively. The
AdS landscape of both classes of compactifications is known to consist of a set
of isolated points. The main result is that all critical points respecting the
Breitenlohner-Freedaman (BF) bound also turn out be stable at a
non-perturbative level. Finally, we speculate on the possible universal
features that may be extracted from the above specific examples.
