Longitude profiles of scattered XB radiation in comparison with near-infrared-inferred GRXE profile, in energy ranges 3−10 and 10−20 keV for Monte Carlo sources. If our Galaxy was on average more luminous in X-rays during the last several thousand years compared with the present, then the scattered component of the GRXE could be as bright as the stellar component. In reality, the scattered component strongly depends on the appearance of just a few new bright sources with luminosities close to the Eddington limit for a neutron star.