This paper examines parallels in semantic structure between noun phrases and verbal predicates in constructions in which they are mutually constraining and contribute to the expression of LEXICAL ASPECT and GRAMMATICAL ASPECT. One of the main claims pursued here is that such interactions are semantically motivated: it is the nominal argument linked to the Incremental Theme role that interacts with the aspectual semantics of verbal predicates and sentences, at least in the most typical cases. I will show how such interactions, which appear to be procedural and directional, can be described declaratively within a constraint-based (or unificationbased) framework. This area intersects with lexical semantics, morphology and it poses intriguing problems to the mapping between syntax and semantics. It also provides an excellent basis for cross-linguistic studies and for exploring how nouns and verbs relate to the ontology of individuals and eventualities. The data is mainly drawn from English and Slavic languages, which are compared to German and Finnish.