Meshfree (or meshless) methods provide significant flexibility in spatial approximation by eliminating the need for element connectivity, making them particularly advantageous for problems involving complex geometries, large deformations, and evolving discontinuities. In recent years, these methods have seen broad development and application across diverse disciplines, including solid/fluid dynamics, extreme event simulation, solid-fluid interactions, isogeometric analysis, nonlinear mechanics, inverse problems, peridynamics, geomechanics, biomaterial modeling and emerging machine learning techniques. A wide range of meshfree formulations have been proposed, such as smoothed particle hydrodynamics, element-free Galerkin methods, reproducing kernel particle methods, material point methods, generalized finite difference schemes, strong-form collocation approaches, and physics-informed neural networks, and many others. This minisymposium aims to provide a platform for researchers from engineering, mathematics, and industry to present recent advancements, innovations, and applications of meshfree methods. We warmly invite contributions related to the theoretical development, computational implementation, and practical use of meshfree approaches in computational mechanics and applied mathematics, as well as their integration into real-world industrial applications.