= Alsine polycarpa Crantz; Inst. Rei Herb. 2: 405 (1766)
= Arversia loeflingiae (Wall. ex Wight & Arn.) Walp.; Repert. Bot. Syst. 1: 263 (1842)
= Hapalosia loeflingiae Wall.; (Cat. 233, n. 6962 (1832), nom nud.) ex Wight & Arn., Prodr. Fl. Ind. Or. 358 (1834)
= Herniaria alsinifolia (L.) Mill.; Gard. Dict. ed. 8.: no. 3 (1768), as ´alsines-folia´
= Holosteum tetraphyllum (L.) Thunb.; Prodr. Pl. Cap. 1: 24 (1794)
= Illecebrum alsinifolium Comm. ex Poir.; Lam., Encycl. 5: 25 (1804)
= Illecebrum alsinifolium L.; Mant. Pl. 1: 51 (1767)
= Illecebrum frutescens Comm. ex Schult.; Roem. & Schult., Syst. Veg. ed. 15[bis]. 5: 523 (1819), nom. inval.
= Illecebrum striatum Pers.; Syn. 1: 261 (1805)
= Loeflingia caspica S.G.Gmel.; Reise Russland 3: 310 (1774)
= Loeflingia indica Retz.; Observ. Bot. 4: 8 (1786)
= Mollugo tetraphylla L.; Sp. Pl.: 89 (1753)
= Paronychia alsinifolia (L.) Juss.; Mém. Mus. Hist. Nat. 2: 390 (1815)
= Paronychia striata (Pers.) DC.; Poir. Encyc. 5: 25 (1804)
= Polycarpa tetraphylla (L.) Loefl.; Iter Hisp. 7 (1758)
= Polycarpaea alsinifolia (L.) C.Mohr; Contr. U.S. Natl. Herb. 6: 502 (1901)
= Polycarpaea benthamii Wall.; Numer. List [Wallich] no. 1514 (1829)
= Polycarpaea lanuginosa Wall.; Numer. List [Wallich] no. 1515 (1829)
= Polycarpaea tetraphylla (L.) E.H.L.Krause; Sturm, Fl. Deutschland, ed. 2, 5: 23 (1901)
= Polycarpon benthamii Hook.f. & Edgew.; Hook.f., Fl. Brit. India 1: 245 (1874)
= Polycarpon brachypetalum Gagnep.; Bull. Soc. Bot. France 56: 37 (1909)
= Polycarpon depressum Edgew. & Hook.f.; Hook.f., Fl. Brit. India 1: 245 (1874), nom. illeg.
= Polycarpaea depressa (L.) DC.; Prod. 3: 375 (1828)
= Pharnaceum depressum L.; Mant. Pl. 2: 562 (1771)
= Polycarpa depressa (L.) Kuntze; Revis. Gen. Pl. 51 (1891)
= Polycarpon floribundum Willk.; Bot. Zeitung (Berlin) 5: 430 (1847)
= Polycarpon indicum (Retz.) Merr.; Philipp. J. Sci. 10: 302 (1915)
= Polycarpon lanuginosum Edgew. & Hook.f.; Hook.f., Fl. Brit. India 1: 245 (1874)
= Polycarpon loeflingiae (Wall. ex Wight & Arn.) Benth. & Hook.f.; Gen. Pl. 1: 153 (1862)
= Polycarpon polyphyllum Blanco; Fl. Filip. ed. 1, 53 (1837)
= Polycarpon succulentum Webb & Berthel.; Hist. Nat. Iles Canaries 3(2
= Polycarpon tetraphyllum f. depauperatum (Merino) Amich; Anales Jard. Bot. Madrid 43: 267 (1986 publ. 1987)
= Polycarpon tetraphyllum f. ovalifolium (Merino) Amich; Anales Jard. Bot. Madrid 43: 267 (1986 publ. 1987)
= Polycarpon tetraphyllum subsp. floribundum (Willk.) Losa & Rivas Goday; Arch Inst. Aclim. Cons. Super Invest. Ci. 13: 130 (1974) (comb. inval.)
= Polycarpon tetraphyllum var. densum Rouy & Foucaud; Fl. France 3: 80 (1896)
= Polycarpon tetraphyllum var. depauperatum Merino; Brotéria, Sér. Bot. 11: 41 (1913)
= Polycarpon tetraphyllum var. floribundum (Willk.) Willk.; Willk. & Lange, Prodr. Fl. Hispan. 3: 160 (1879)
= Polycarpon tetraphyllum var. fontqueri O.Bolòs & Vigo; Butl. Inst. Catalana Hist. Nat., Secc. Bot. 38(1): 86 (1974)
= Polycarpon tetraphyllum var. ovalifolium Merino; Brotéria, Sér. Bot. 11: 41 (1913)
= Polycarpon tetraphyllum var. rotundatum Batt.; Bull. Soc. Bot. France 54(6): 546 (1907)
= Polycarpon tetraphyllum var. verticillatum Fenzl; Ledeb., Fl. Ross. 2: 165 (1843)