A process comprises cold-forming a flat glass substrate into a non-planar shape using a die. The cold-formed glass substrate is bonded to a non-planar rigid support structure at a plurality of non-planar points using the die. Bonding methods include injection molding the non-planar rigid support structure, and direct bonding. An article is also provided, comprising a cold-formed glass substrate having opposing major surfaces and a curved shape, the opposing major surfaces comprising a surface stress that differ from one another. The cold-formed glass substrate is attached to a rigid support structure having the curved shape. The cold-formed glass substrate includes an open region not in direct contact with the non-planar rigid support structure, and the open region has a curved shape maintained by the non-planar rigid support structure.