A method of manufacturing an external part of a timepiece, including: providing a metallic base made of a first material including titanium and/or a first titanium alloy; providing at least one metallic cover plate made of a second material, the second material including a second metal chosen from among gold or platinum, and/or a second alloy including at least gold or platinum, the at least one cover plate being of a thickness greater than or equal to 0.5 millimeters; brazing the cover plate onto the base with a braze material chosen for brazing titanium with gold or respectively platinum to form a bimetallic blank; and shaping the bimetallic blank to give the external part its final form.