A glass sheet bending station includes a framework, lower and upper deformable molds for receiving therebetween a glass sheet to be bent, and lower and upper linkages that respectively support the lower and upper molds on the framework. Each linkage includes connector links that are fixedly connected to the associated mold and that have pivotal connections to each other, wherein the pivotal connections define pivot axes that are parallel to a shape defined by the connector links between the lower and upper linkages throughout the bending. Each linkage also has control links connected to the connector links thereof such that the control links are pivotable about axes that extend perpendicular to the shape defined between the lower and upper. Furthermore, at least one of the control links of each linkage is configured to permit glass sheet bending by linkage movement on one side thereof independently of the other side thereof.