1. Species Solarium (Torinia) admirandum Melvill & Standen, 1903 accepted as Granosolarium asperum (Hinds, 1844) (unaccepted > junior subjective synonym)
2. Species Solarium (Torinia) albertinae Sacco, 1892 † accepted as Heliacus albertinae (Sacco, 1892) † (unaccepted > superseded combination)
3. Species Solarium (Torinia) berthae O. Boettger, 1902 † accepted as Heliacus berthae (O. Boettger, 1902) † (unaccepted > superseded combination)
4. Species Solarium (Torinia) cerdaleum Melvill & Standen, 1903 accepted as Heliacus (Torinista) cerdaleus (Melvill & Standen, 1903) represented as Heliacus cerdaleus (Melvill & Standen, 1903)
5. Species Solarium (Torinia) criticum O. Boettger, 1907 † accepted as Heliacus berthae (O. Boettger, 1902) † (unaccepted > junior subjective synonym)
6. Species Solarium (Torinia) cyclostomum Menke, 1830 accepted as Heliacus cylindricus (Gmelin, 1791)
7. Species Solarium (Torinia) cylindraceum (Dillwyn, 1817) accepted as Heliacus (Heliacus) cylindricus (Gmelin, 1791) represented as Heliacus cylindricus (Gmelin, 1791) (superseded combination)
8. Species Solarium (Torinia) delectabile Melvill, 1893 accepted as Pseudotorinia delectabilis (Melvill, 1893) (basionym)
9. Species Solarium (Torinia) egenum A. Gould, 1849 accepted as Antisolarium egenum (A. Gould, 1849) (superseded combination)
10. Species Solarium (Torinia) enoshimense Melvill, 1891 accepted as Heliacus (Torinista) enoshimensis (Melvill, 1891) represented as Heliacus enoshimensis (Melvill, 1891) (unaccepted > superseded combination)
11. Species Solarium (Torinia) gibbuloides Tenison Woods, 1877 † accepted as Antisolarium gibbuloides (Tenison Woods, 1877) †
12. Species Solarium (Torinia) homalaxis Melvill, 1893 accepted as Heliacus implexus (Mighels, 1845) (unaccepted > junior subjective synonym)
13. Species Solarium (Torinia) infundibuliforme (Gmelin, 1791) accepted as Heliacus (Teretropoma) infundibuliformis infundibuliformis (Gmelin, 1791) represented as Heliacus infundibuliformis infundibuliformis (Gmelin, 1791) (superseded combination)
14. Species Solarium (Torinia) marthae O. Boettger, 1902 † accepted as Pseudotorinia marthae (O. Boettger, 1902) † (unaccepted > superseded combination)
15. Species Solarium (Torinia) obtusa (Bronn, 1831) † accepted as Pseudotorinia obtusa (Bronn, 1831) † (unaccepted > superseded combination)
16. Species Solarium (Torinia) perspectiviunculus (Dillwyn, 1817) accepted as Heliacus (Heliacus) variegatus (Gmelin, 1791) represented as Heliacus variegatus (Gmelin, 1791)
17. Species Solarium (Torinia) radiata Borson, 1821 † accepted as Heliacus radiatus (Borson, 1821) † (unaccepted > superseded combination)
18. Species Solarium (Torinia) rosulentum R. B. Watson, 1883 accepted as Spectamen pulcherrimum (Angas, 1869) (unaccepted > junior subjective synonym)
19. Species Solarium (Torinia) stramineum (Gmelin, 1791) accepted as Heliacus (Grandeliacus) stramineus (Gmelin, 1791) represented as Heliacus stramineus (Gmelin, 1791)
20. Species Solarium (Torinia) dumontii Nyst, 1845 † (uncertain > unassessed)
21. Species Solarium (Torinia) faustae Sacco, 1892 † (uncertain > unassessed)

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