The study of multiphase, multicomponent heat-conducting flows has gained substantial attention in recent years, driven by the need to understand complex fluid behaviours in various engineering, scientific, and recently also biomedical applications. We aim to create an efficient approach for modelling, analysis and numerics of non-isothermal multicomponent and/or multiphase viscoelastic fluids by combining the complementary knowledge of four scientific communities from Croatia, Austria, Czech Republic, and France.