It is commonly assumed that the requirement for an adjectival passive to be possible is a verb with a stative component in its event structure. This allows both telic and stative verbs to be part of these constructions, but leaves (atelic and dynamic) activities out. Crucially, this paper identifies a group of verbs, those of the type of perseguir 'to chase', which, despite encoding activities (and hence apparently lacking a stative component), can enter adjectival passives with estar in Spanish, even though these adjectival passives have a progressive reading. A formal syntactic analysis for the availability of these constructions is provided which preserves the above-mentioned restriction (namely, that only verbs including a stative layer are allowed in adjectival passives) and, in addition, accounts for their progressive denotation.