  The contribution of discrete sources to the gamma--ray background is modeled.
Flat spectrum radio quasars are known to make a substantial contribution to the
hard (E > 100 MeV) background. The so called ``MeV bump", however, cannot be
accounted for in terms of known classes of sources even taking into account the
newly discovered class of objects with a broad band spectrum sharply peaked in
the MeV range (``MeV blazars"). Even in the most optimistic case the predicted
intensity falls short of at least a factor three.
