Multiphysics problems with moving boundaries and interfaces, where multiple physical phenomena interact across distinct and evolving surfaces, represent some of the most challenging and impactful areas in modern computational science and engineering. Such problems occur in diverse applications, including fluid–structure interaction, phase change processes, multiphase flows, and coupled thermal, electrical, and mechanical systems. Accurate and efficient simulation of these systems demands advanced numerical methods capable of addressing their inherent difficulties, such as strong inter-physics coupling, discontinuities at interfaces, and the need for fine resolution across widely varying spatial and temporal scales. Recent advances have also included data-driven or physics-informed surrogate models, constructed via machine learning from high-fidelity simulations or experimental data. These methods can greatly accelerate simulations while preserving accuracy. This mini-symposium will present recent advances in numerical methods for moving boundary problems in multiphysics, bringing together leading researchers who are developing cutting-edge algorithms and their applications. Topics will include novel discretization strategies, high-fidelity simulation techniques, and robust algorithms for tackling nonlinearities, complex geometries, and large deformations. Special emphasis will be placed on approaches that improve stability and accuracy, such as adaptive mesh refinement, innovative interface tracking and interface capturing methods, multiscale modeling, and machine learning-enhanced simulations. Beyond methodological developments, we encourage submissions which feature real-world applications demonstrating how to improve predictive capabilities and optimized designs. Some areas of interest are, but not limited to, aerospace, energy, materials science, and biomedical engineering. By fostering discussion and collaboration, this session aims to accelerate progress in the simulation of interfacial multiphysics problems, pushing forward the state of the art in this critical area of research.