Two new taxa, Falklandoglenes spinosagen. nov. and sp. nov. and Beauchenia striatagen. nov. and sp. nov., are described from Beauchêne Island, the most remote island in the Falkland Islands archipelago. Both species are in subfamily Mynogleninae, previously thought to be confined to Central Africa and to New Zealand and its neighbouring subantarctic islands. Both species show intermediate characters between the Mynogleninae and the remainder of the Linyphiidae, and hence they throw some light on the phylogeny of this large, complex, world–wide family of spiders.