The new genus Malmographina Cáceres, Rivas Plata & Lücking is introduced for Opegrapha plicosa Meissn. (syn. Graphis malmei Redinger), with the new combination Malmographina plicosa (Meiss.) Cáceres, Rivas Plata & Lücking. The taxon is characterized by prominent, striate, orange-pigmented, non-carbonized lirellae, a more or less clear hymenium, and large, muriform, hyaline ascospores. Malmographina is most similar to Hemithecium in lirellae morphology and anatomy, but in a molecular phylogenetic analysis falls within a clade containing Phaeographis and other genera with usually inspersed hymenium and brown ascospores. Within that clade, it is thus far the only taxon that has persistently hyaline ascospores. It is otherwise similar to Pallidogramme but does not cluster within that genus. A preliminary phylogenetic analysis of the Phaeographis clade confirms monophyly of the genera Halegrapha, Pallidogramme, and Platygramme, and suggests that Phaeographis should be divided into several generic lineages and that Leiorreuma and Sarcographa perhaps be merged.