This workshop aimed to bring together experts from different communities to cover the investigation of diffusive systems from several viewpoints: the theoretical one, combining analytical techniques from Partial Differential Equations (PDEs) and dynamical systems with the most recent numerical methods to predict the evolution of the phenomena under study; the applied one – with a particular focus on biology, where challenging questions leading to the understanding of our surrounding environment are constantly raised. The speakers illustrated the most recent advancements in these fields, and foster the creation of new research directions with a concluding description of three open research questions aimed at colleagues working in fields different from their own. This allowed researchers with different backgrounds to learn ultimate techniques, connect with experts from various areas, and collaborate with fellow participants to produce new, cutting-edge research.