Five energetically stable phases of P1̄′, P63/mmc, I41/amd, I4/mmm and I4/mmm′ were predicted in the ReX2 family of compounds at high pressures. The coordination environment of a Re atom changes from a ReX6 octahedron or a trigonal prism to a ReX8 cuboid coordination with increasing pressure. The high-pressure metallic phases of ReX2 exhibit superconductivity.