Soft matter is ubiquitous and encompasses materials in different domains, such as biological tissues, gels, and liquid crystal elastomers. These materials can undergo large deformations and frequently display multiphysical and active behaviours. Hence, their motion can be induced by various external stimuli of mechanical and non-mechanical nature. Such energy fluxes are at the basis of fundamental biological processes, including morphogenesis, cell motility and contractility. In parallel with the development and understanding on new artificial materials, researchers have taken inspiration from biological soft matter, creating bioinspired morphing structures with diverse applications such as, for example, soft robotics. In this Minisymposium, we aim at bringing together researchers working in the field of mathematical modelling of soft matter. Since these materials can undergo large deformations due to their soft rheology, nonlinear Continuum Mechanics is an ideal theoretical framework to construct the mathematical models. The proposed models may be based on discrete and continuous theories, including finite elasticity with multiphysical coupling, such as the interaction with electromagnetic and chemical stimuli and fluid or complex environments. We welcome contributions ranging from purely theoretical to numerical approaches and experimental validation of the proposed models.