  We use the GALPROP model for cosmic-ray propagation to obtain a new estimate
of the Galactic component of gamma rays, and show that away from the Galactic
plane it gives an accurate prediction of the observed EGRET intensities in the
energy range 30 MeV - 50 GeV. On this basis we re-evaluate the extragalactic
gamma-ray background. We find that for some energies previous work
underestimated the Galactic contribution at high latitudes and hence
overestimated the background. Our new background spectrum shows a positive
curvature similar to that expected for models of the extragalactic emission
based on the blazar population.
