The genus Enghoffosoma is recorded from Vietnam for the first time, altogether with six species involved. Two species, E. lanceolatum Likhitrakarn et al., 2014 and E. anchoriforme Likhitrakarn et al., 2014, were previously known only from the western part of Laos, thus being new to the fauna of Vietnam. One more species, Sundanina fedorenkoi Golovatch, 2016, very recently described from Dak Lak Province, southern Vietnam, is formally transferred to Enghoffosoma, comb. nov., based both on a strict topotype and a sample from Lam Dong Province, southern Vietnam. Three other species are described as new: E. triangulare sp. nov., E. retrorsum sp. nov. and E. digitatum sp. nov. A key to all six species of Enghoffosoma currently known to occur in Vietnam is provided.