Acknowledging that narratives are an important resource in human communication and cognition, the focus of this article is on the cognitive aspects of involvement with visual and auditory non-verbal narratives, particularly in relation to the newest immersive media and digital interactive representational technologies. We consider three relevant trends in narrative studies that have emerged in the 60 years of cognitive and digital revolution. The issue at hand could have implications for developmental psychology, pedagogics, cognitive science, cognitive psychology, ethology and evolutionary studies of language. In particular, it is of great importance for narratology in relation to interactive media and new representational technologies. Therefore we outline a research agenda for a bio-cognitive semiotic interdisciplinary investigation on how people understand, react to, and interact with narratives that are communicated through non-verbal modalities.