The primary objective of this minisymposium is to explore recent advancements in polytopal methods and their application in the context of coupled problems. Although not limited to these topics, the symposium will primarily focus on coupled poromechanics modeling geological materials and biological tissues, non-isothermal flows and deformation processes, bulk-surface couplings, fracture and contact mechanics, and fluid-structure interaction problems. Moreover, it will also encompass discussions on the utilization of polytopal methods in other biological or industrial applications.