Cognitive mechanisms underlying linguistic communication do not only rely upon retrieval and processing of linguistic information; they also involve constant updating and organizing of this linguistic information in relation with other, more general, cognitive mechanisms. Some existing theoretical models assume such a tight interactive link between domain-general and domain-specific sources of information in the cognitive organization of the linguistic faculty and during language use. Domain-specific constraints may include, for example, grammatical as well as lexical and pragmatic knowledge. Domain-general constraints comprise processing limitations imposed by the cognitive mechanisms of memory, attention, learning, and social interaction. However, much of the existing research tends to focus on one or the other of the aforementioned areas, while integrative accounts are still rather sparse at present. Therefore, the aim of this Research Topic of Frontiers in Cognition is to bring together researchers who, with in their respective research fields and by using different methodologies, represent integrative approaches to the study of language. We invite submissions from a wide range of interrelated areas of research: cognitive architectures of language, aspects of language processing, linguistic development, bilingualism, language embodiment, neuropsychology of linguistic function, among others. We would like to solicit original research contributions discussing behavioral, neurophysiological, and computational evidence as well as papers on methodological and/or theoretical aspects of the interplay between linguistic and non-linguistic cognitive processes.