  We show that every cross ratio preserving homeomorphism between boundaries of
Hadamard manifolds extends to a continuous map, called circumcenter extension,
provided that the manifolds satisfy certain visibility conditions. We show that
this map is a rough isometry, whenever the manifolds admit cocompact group
actions by isometries and we improve the quasi-isometry constants provided by
Biswas in the case of CAT(-1)} spaces. Finally, we provide a sufficient
condition for this map to be an isometry in the case of Hadamard surfaces.
