Seventeen fossil, and two recent odobenid remains belonging anatomically to the appendicular skeleton, encountered by us in two public and two private collections since the publication of a number of earlier papers, are described and discussed. Most specimens should be identified as Odobenus rosmarus or simply as Odobenus sp., but in some cases identification as either Odobenus antverpiensis (Rutten, 1907) or as Odobenus huxleyi (Lankester, 1865) appears to be justified.