  Y. Benoist proved that if a closed three-manifold M admits an indecomposable
convex real projective structure, then M is topologically the union along tori
and Klein bottles of finitely many sub-manifolds each of which admits a
complete finite volume hyperbolic structure on its interior. We describe some
initial results in the direction of a potential converse to Benoist's theorem.
We show that a cusped hyperbolic three-manifold may, under certain assumptions,
be deformed to convex projective structures with totally geodesic torus
boundary. Such structures may be convexly glued together whenever the geometry
at the boundary matches up. In particular, we prove that many doubles of cusped
hyperbolic three-manifolds admit convex projective structures.
