A new genus of entimine weevils, Morronia gen. n., is described as endemic to the Islas Malvinas (Falkland Islands). It is distinguished from the other genera of Entimini by the following combination of characters: frons without fovea; rostrum lacking carinae, as long as wide; and foretibia with external margin straight and a spatula-like projection. Diagnoses, descriptions and illustrations of the new genus and its only species, M. brevirostris sp. n., are given. We also present a check-list of the Curculionidae recorded from the Islas Malvinas. It contains 22 species in 13 genera and 3 subfamilies. Also included is a key to the species of the Entiminae that inhabit the archipelago.