Conanthera is a genus of 5 recognised species of bulbous perennials from Chile.  Most species have purple flowers although Conanthera campanulata Lindl., which see for more detail, occurs naturally in a white flowered form and this is a possibility.  Perhaps a more likely identification is Conanthera parvula (Phil.) M.Muñoz, a species with white flowers with purple markings, or Conanthera urceolatata Rav., a species growing to 5cm with a stout stem and drooping umbel of pinkish-white flowers.  The remaining recognised species are Conanthera bifolia Ruiz & Pav. and C. trimaculata (D.Don) Lindl., both with mauvish-purple flowers.  [www.chileflora.com].