A biomedical device carrier includes multiple recesses for holding a plurality of polymerized biomedical devices, such as polymerized ophthalmic lenses, during an extraction procedure. A biomedical device extraction assembly includes multiple biomedical device carriers. The structure of the individual carriers and the arrangement of the carriers in the assembly provide sufficient extraction of an extractable component from the biomedical devices during an extraction procedure using relatively small amounts of extraction media per biomedical device. Methods of extracting biomedical devices include providing polymerized biomedical devices in the present carriers and assemblies and contacting the devices with an extraction composition.