Value-aware AI means an AI performing human moral functions such as acquiring and maintaining a value system and deciding morally acceptable actions, understanding their intent and properly engaging with them. The EIC-funded VALAWAI project will develop a toolbox to build value-aware AI on two science-based pillars that include an architecture for consciousness and a foundational framework for moral decision-making. The first pillar is inspired by the global neuronal workspace model developed on neurophysiological evidence and psychological data. The second relies on psychology, social cognition and social brain science. The project will focus on social media, which include several negative effects such as disinformation and polarisation, social robots, which can enable manipulation, and medical protocols.