A face insert for golf club head in one embodiment can comprise a substrate comprising a score line groove-free front surface. A cover layer is provided at least on the front surface of the substrate. The cover layer can alternatively overlay at least a portion of the peripheral edge of the substrate. The cover layer comprises a ball-striking surface spaced by the cover layer from the substrate. Plural elongated score line grooves can extend into the polymer layer from the ball-striking surface. In addition, visible markings are interposed between the cover layer and the front surface of the substrate, the visible markings being visible through the cover layer. In one form the visible markings comprise elongated score line markings and target markings in a central portion of the substrate. The visible markings can be screen-printed markings, which are then protected by the cover layer from wear. The cover layer can be molded and can be a polymer layer. The score line grooves can be formed, for example, by molding during molding of the polymer layer.