Together with the volume “Inquiries in philosophical pragmatics: Linguistic and theoretical issues,” this book collects selected contributions to the conference Pragmasophia II held in Lisbon in 2018. This first volume intends to contribute to the dialogue between philosophers and linguists, trying to broaden the boundaries of this discipline defined by the crucial notions of context and verbal action. To this purpose, the contributions are collected in an order that reflects the core and the frontiers of pragmatics, the former constituted by the classical and more philosophical topics as quantifiers, semantic intentions and semantics, and common knowledge, and the latter exploring areas such as the relationship between pragmatics and other fields, such as argumentation and discourse analysis. Between these two poles of theoretical developments, we can find new theoretical challenges to some basic pragmatic problems, such as pure indexicals, deferred reference, polysemy, explicatures and indirect reports.