Glass sheets (G) are positioned on a shaping rail (60) of an outline shaping mold (56) for movement through a heating lehr and subsequent preliminary sag bending. The mold with the glass sheet supported thereon is positioned between a pair of vertically aligned pressing molds. The lower mold (58) includes a full surface press face (62) corresponding to the final desired curvature of the glass sheet to be shaped. The upper mold (78) includes a peripheral shaping surface (82) and a chamber defined by the shaping surface. After the lower mold (68) lifts the glass sheet (G) off the outline mold (56) and into engagement with the upper mold (88), gas in the chamber (104) is pressurized to urge those portions of the glass not contacted by the upper mold against the press face (70) of the lower mold.