The volume proposes original semantic analyses on items marking grammatical aspect. The contributions deal with structurally divergent languages, setting to the fore some less studied forms coding aspect, revisiting or challenging certain conventionalized views on aspectual categories and shedding light on interactions between aspect and modality, another multifaceted semantic category. In doing so, the volume is intended to emphasize the diversity of aspectual systems and the fuzzy semantics of grammatical aspect and help the reader to make their own mind on a topic traditionally viewed as a subcategory of verbal aspect together with lexical aspect.