The present disclosure concerns embodiments of a badge or insert for a golf club head that can eliminate undesired gaps between the insert and the peripheral sidewall of the cavity that receives the insert. In one embodiment, a golf club head comprises a main body comprising a cavity, which defines a central surface and an inner peripheral surface at least partially surrounding the central surface. An insert comprises a central portion and a deflectable portion coupled to and extending along a peripheral edge section of the central portion. The deflectable portion has a shape corresponding to and contacting a corresponding section of the inner peripheral surface of the cavity. The deflectable portion forms a press-fit engagement with the corresponding section of the inner peripheral surface of the cavity that retains the deflectable portion in a deflected state relative to the central portion.