Phleboviruses constitute a large group of arthropod-borne viruses (arboviruses), mainly transmitted to their hosts by sandflies and ticks, occasionally by mosquitoes. These viruses have a worldwide distribution and many cause serious diseases - often fatal - in both domestic animals and humans. The global warming, the apparent wide distribution of arthropod reservoirs, and the increasing number of outbreaks show that phleboviruses must be taken seriously as emerging disease agents. This review proposes to focus on the early steps of phlebovirus infection, from virus binding to penetration into the cytosol. We address the most recent knowledge and advances in the entry of these viruses into vertebrate host cells, including virus receptors, cellular factors, endocytic pathways, and fusion.