  We consider extensions of General Relativity based on the non-local function
$f(R, \Box^{-1} R)$, where $R$ is the Ricci curvature scalar and the
non-locality is due to the term $\Box^{-1} R$. We focus on cosmological
minisuperspaces and select viable models by the Noether Symmetry Approach. Then
we find viable exact solutions pointing out the role of non-locality in
cosmology.
