  A new class of low-power compact radio sources with limited jet structures,
named FR0, is emerging from recent radio-optical surveys. This abundant
population of radio galaxies, five times more numerous than FRIs in the local
Universe (z$<$0.05), represent a potentially interesting target at high and
very-high energies (greater than 100 GeV), as demonstrated by a single case of
Fermi detection. Furthermore, these radio galaxies have been recently claimed
to contribute non-negligibly to the extra-galactic $\gamma$-ray background and
to be possible cosmic neutrino emitters. Here, we review the radio through
X-ray properties of FR0s to predict their high-energy emission (from MeV to
TeV), in light of the near-future facilities operating in this band.
