= Cactus horizontalis Jacob-Makoy; Nursery Cat. (L. Jacob-Makoy & Co.) 1836: 5 (1836)
= Cactus ovatus Gillies ex G.Don; Hort. Brit. [Loudon] 195 (1830)
= Cereus ovatus G.Don; Hort. Brit. [Loudon] 195 (1830)
= Maihueniopsis conoidea (Backeb.) F.Ritter; Kakteen Südamerika 3: 873 (1980)
= Maihueniopsis glomerata subsp. hypogaea (Werderm.) G.J.Charles; Bradleya 26: 71 (2008)
= Maihueniopsis hypogaea (Werderm.) F.Ritter; Kakteen Südamerika 2: 386 (1980)
= Maihueniopsis leptoclada F.Ritter; Kakteen Südamerika 2: 388 (1980)
= Maihueniopsis molfinoi Speg.; Anales Soc. Ci. Argent. 99: 86 (1925)
= Maihueniopsis ovallei (Gay) F.Ritter; Kakteen Südamerika 3: 876 (1980)
= Maihueniopsis tarapacana (Phil.) F.Ritter; Kakteen Südamerika 3: 874 (1980)
= Opuntia andicola Salm-Dyck; Cact. Hort. Dyck. [1849 ed.]: 71 (1850), nom. illeg.
= Opuntia andicola var. elongata Lem.; Cact. Gen. Sp. Nov. 72 (1839)
= Opuntia andicola var. major Lem.; Cact. Gen. Sp. Nov. 72 (1839)
= Opuntia chilensis (Backeb.) G.D.Rowley; Natl. Cact. Succ. J. 13: 5 (1958)
= Opuntia conoidea (Backeb.) A.E.Hoffm.; Cact. Fl. Silvestre Chile 246 (1989), basionym inval.
= Opuntia conoidea (F.Ritter) G.D.Rowley; Natl. Cact. Succ. J. 13: 25 (1958)
= Opuntia gilliesii Pfeiff.; Enum. Diagn. Cact. 102 (1837)
= Opuntia glomerata f. oligacantha (Speg.) Castell.; Lilloa 23: 11 (1950)
= Opuntia glomerata Haw.; Phil. Mag. 7: (1830) 111. 7: 111 (1830)
= Opuntia glomerata var. gracilior (Salm-Dyck) G.D.Rowley; Natl. Cact. Succ. J. 13: 5 (1958)
= Opuntia glomerata var. oligacantha (Speg.) G.D.Rowley; Natl. Cact. Succ. J. 13: 5 (1958)
= Opuntia hypogaea Werderm.; Neue Kakteen 64 (1931), et Repert. Spec. Nov. Regni Veg. 30: 59 (1932)
= Opuntia molfinoi (Speg.) Werderm.; Neue Kakteen 65 (1931)
= Opuntia ovallei Gay; Fl. Chil. [Gay] 3: 29 (1847)
= Opuntia ovata Pfeiff.; Enum. Diagn. Cact. 102 (1837), nom. inval.
= Opuntia platyacantha var. gracilior Salm-Dyck; Cact. Hort. Dyck. [1849 ed.]: 245 (1850)
= Opuntia russellii Britton & Rose; Cactaceae [Britton & Rose] 1: 94 (1919)
= Opuntia tarapacana Phil.; Anales Mus. Nac., Santiago de Chile 27 (1891)
= Opuntia wetmorei Britton & Rose; Cactaceae [Britton & Rose] 4: 255 (1923)
= Tephrocactus atacamensis var. chilensis (Backeb.) Backeb.; Cactaceae [Backeberg] 1: 340 (1958)
= Tephrocactus conoideus F.Ritter; Cactaceae [Backeberg] 1: 286 (1958)
= Tephrocactus glomeratus (Haw.) Speg.; Revista Argent. Bot. 1: 200 (1926)
= Tephrocactus glomeratus var. atratispinus Backeb.; Descr. Cact. Nov. [Backeberg] 3: 14 (1963)
= Tephrocactus glomeratus var. gracilior (Salm-Dyck) Backeb.; Cactus (Paris) 38: 249 (1953)
= Tephrocactus glomeratus var. longispinus Backeb.; Descr. Cact. Nov. [Backeberg] 3: 14 (1963)
= Tephrocactus glomeratus var. oligacanthus Speg.; Revista Argent. Bot. 1: 201 (1926)
= Tephrocactus hypogaeus (Werderm.) Backeb.; Möller´s Deutsche Gärtn.-Zeitung 49: 105 (1934), nomen, Kaktus-ABC [Backeberg & Knuth] 110 (1935)
= Tephrocactus neoglomeratus var. atratospinus (Backeb.) Y.Itô; Cactaceae [Itô] 73 (1981), nom. inval.
= Tephrocactus neoglomeratus var. gracilor (Salm-Dyck) Y.Itô; Cactaceae [Itô] 74 (1981), nom. inval.
= Tephrocactus neoglomeratus var. longispinus (Backeb.) Y.Itô; Cactaceae [Itô] 74 (1981), nom. inval.
= Tephrocactus neoglomeratus Y.Itô; Cactaceae [Itô] 73 (1981), without full replaced synonym ref.
= Tephrocactus parvisetus Backeb.; Descr. Cact. Nov. [Backeberg] 3: 15 (1963)
= Tephrocactus russellii (Britton & Rose) Backeb.; Cactus (Paris) 38: 249 (1953)
= Tephrocactus tarapacanus (Phil.) Backeb.; Kaktus-ABC [Backeberg & Knuth] 114 (1935)