The aim of this work is to investigate the integration of data, knowledge, and processes. In particular, we study the combination of research in Ontology-Based Data Access (OBDA) with Data- Centric Dynamic Systems (DCDSs). The idea of OBDA is to combine data and knowledge by providing a conceptual view over data repositories in terms of an ontology, while DCDSs provide a holistic framework for modeling business processes in which both data and processes are treated as first-class citizens. Thanks to this combination, we obtain Semantically-Governed Data-Aware Processes (SGDAPs), which represent a significant step towards the envisioned unifying framework. We position SGDAPs in the state of the art and briefly discuss the current status of our research. We then identify several research directions along which we intend to continue our work.