A method of making a mirror substrate for a vehicular mirror assembly includes providing a glass substrate and fixturing the glass substrate at a fixture to support the glass substrate. A rotatable grinding wheel is presented to the front perimeter portion of the glass substrate and the front perimeter portion of the glass substrate is ground to establish a ground rounded surface about and around the periphery of the glass substrate. After grinding the front perimeter portion of the glass substrate to establish the ground rounded surface, a rotatable polishing wheel is presented to the ground rounded surface and the ground rounded surface is polished to establish a polished rounded surface about and around the periphery of the glass substrate. The polished rounded surface provides a smooth transition between the front surface of the glass substrate and a rear portion of the circumferential perimeter edge of the glass substrate.