One new fairyfly (Hymenoptera: Mymaridae) species, Anagrus (Anagrus) iti sp. n., described from Tahiti Island, French Polynesia, was reared from eggs of the invasive glassy-winged sharpshooter, Homalodisca vitripennis (Germar) (Hemiptera: Cicadellidae), which is native to southeastern USA and northeastern Mexico. An overview of the taxonomic and biological studies on the egg parasitoids (Hymenoptera: Aphelinidae, Mymaridae, and Trichogrammatidae) of various proconiine sharpshooters (Cicadellidae: Cicadellinae: Proconiini) in the New World is given. Of particular importance are the natural enemies of H. vitripennis, a notorious vector of the phytopathogenic bacterium, Xylella fastidiosa; with reference to its egg parasitoids and biological control in the non-native range are also provided.