A process for producing a metal-bonded graphene foam product, comprising: (a) preparing a graphene dispersion having multiple graphene sheets dispersed in a liquid medium, which contains an optional blowing agent having a blowing agent-to-graphene weight ratio from 0/1.0 to 1.0/1.0; (b) dispensing and depositing the graphene dispersion onto a surface of a supporting substrate to form a wet graphene layer; (c) removing the liquid medium from the wet graphene layer; (d) heat-treating the dried layer of graphene at a first heat treatment temperature selected from 80° C. to 3,200° C. at a desired heating rate sufficient to induce volatile gas molecules from the non-carbon elements of graphene sheets or to activate the blowing agent for producing a sheet or roll of solid graphene foam having multiple pores and pore walls containing graphene sheets; and (e) impregnating or infiltrating a metal into the pores to form the metal-bonded graphene foam.