  We study the impact of non-local modifications of General Relativity on
stellar structure. In particular, assuming an analytic distortion function and
specific equations of state, we made use of remnant stars to put qualitative
constraints on a parameter not directly restricted by solar system tests. Using
current data sets available for white dwarfs and strange quark stars candidates
we find that the most stringent bounds come from the objects displaying the
highest core densities, namely strange quark stars. Specifically, the
constraints obtained from this class of stars are three to four orders of
magnitude tighter than those obtained using white dwarfs.
