Abstract: I will review recent progress on obtaining regular (non-singular) black holes as exact solutions of gravitational theories built from resummations of infinite towers of higher-curvature corrections. After introducing the relevant quasi-topological gravities and their key structural features, I will explain how resumming these terms yields everywhere-regular black hole geometries. I will then outline some of the main achievements of this approach to date, including dynamical studies of regular black hole formation in spherical symmetry. I will conclude by highlighting open problems the formalism is poised to tackle.