  In the present paper we further the study of the compression cone of a real
spherical homogeneous space $Z=G/H$. In particular we provide a geometric
construction of the little Weyl group of $Z$ introduced recently by Knop and
Kr\"otz. Our technique is based on a fine analysis of limits of conjugates of
the subalgebra $\mathrm{Lie}(H)$ along one-parameter subgroups in the
Grassmannian of subspaces of $\mathrm{Lie}(G)$. The little Weyl group is
obtained as a finite reflection group generated by the reflections in the walls
of the compression cone.
