A glass container and a process for forming a graphene-containing coating on an exterior surface of the glass container to increase the strength of the glass container. A liquid coating composition that includes a physical mixture of a graphene material and a siloxane polymer is applied to the exterior surface of the glass container to form a precursor coating thereon. The glass container and the precursor coating are then cured to form a composite thin film of silica (SiO2) and graphene on the exterior surface of the glass container.