In this talk, I will discuss some results concerning convex cocompact subgroups of the projective linear group (as defined by Danciger-Guéritaud-Kassel). These are a special class of discrete sub-groups which act convex cocompactly on a properly convex domain in real projective space. In the case when the subgroup is word hyperbolic, these are well studied objects: the inclusion representation is actually an Anosov representation. The non-hyperbolic case is less understood and will be the focus of this talk. This is joint work with Mitul Islam.