  We find multicenter (Majumdar-Papapetrou type) solutions of
Eddington-inspired Born-Infeld gravity coupled to electromagnetic fields
governed by a Born-Infeld-like Lagrangian. We construct the general solution
for an arbitrary number of centers in equilibrium and then discuss the
properties of their one-particle configurations, including the existence of
bounces and the regularity (geodesic completeness) of these spacetimes. Our
method can be used to construct multicenter solutions in other theories of
gravity.
