In response to my request about this problem, Epi Info Help Desk wrote that they "are working toward developing other options for satellite and road layers to complement the existing map based visualization offerings in their mapping module".
Meanwhile, Epi Info Hel Desk gave me two internet sites where we can find free geographical data to be used as Base Layers in Epi Map :
Hereafter, I show you how to retrieve a map on DIVA-GIS site, and how to open it in Epi Map.