For almost 100 years, Eragrostis curvula (African or weeping lovegrass), a C(4) perennial grass native to southern Africa, has been sown throughout Australia for pasture improvement and soil conservation. Although easy to establish, particularly in regions of low productivity, it has been found to be unpalatable, low in nutritional value and difficult to contain. Despite the occurrence of significant populations of African lovegrass across Australia, it has not been declared a weed in all regions. In this paper, research within Australia and overseas is summarised to illustrate the invasive nature of this species and to highlight the urgent need for a coordinated effort to better manage existing populations. Research and management efforts need to focus on developing guidelines to reduce African lovegrass populations by either replacing it with more desirable species or increasing its palatability and nutritive value. Urgent action must be taken to reduce further spread.