  We study the scattering of monochromatic planar scalar waves in a geometry
that interpolates between the Schwarzschild solution, regular black holes and
traversable wormhole spacetimes. We employ the partial waves approach to
compute the differential scattering cross section of the regular black hole, as
well as of the wormhole solutions. We compare our full numerical results with
the classical geodesic scattering and the glory approximation, obtaining
excellent agreement in the appropriate regime of validity of such
approximations. We obtain that the differential scattering cross section for
the regular black hole case is similar to the Schwarzschild result.
Notwithstanding, the results for wormholes can be very distinctive from the
black hole ones. In particular, we show that the differential scattering cross
section for wormholes considerably decreases at large scattering angles for
resonant frequencies.
