  We give a detailed description of the possible limits in the
equivariant-Gromov-Hausdorff sense of sequences $(X_j,G_j)$, where the $X_j$'s
are proper, geodesically complete, uniformly packed, CAT$(0)$-spaces and the
$G_j$'s are closed, totally disconnected, unimodular, uniformly cocompact
groups of isometries. We show that the class of metric quotients $G/X$, where
$X$ and $G$ are as above, is compact under Gromov-Hausdorff convergence. In
particular it is a geometric compactification of the class of locally
geodesically complete, locally compact, locally CAT$(0)$-spaces with uniformly
packed universal cover and uniformly bounded diameter.
