  Let $X$ be a normal noetherian scheme and $Z \subseteq X$ a closed subset of
codimension $\geq 2$. We consider here the local obstructions to the map
$\hat{\pi}_{1}(X\backslash Z) \to \hat{\pi}_{1}(X)$ being an isomorphism.
Assuming $X$ has a regular alteration, we prove the equivalence of the
obstructions being finite and the existence of a Galois quasi-\'{e}tale cover
of $X$, where the corresponding map on fundamental groups is an isomorphism.
