The simulation of the dynamic response of foundation systems at high frequencies poses significant computational challenges. This paper introduces an approach that combines the singular boundary method (SBM) and the method of fundamental solutions (MFS) to mitigate the computational needs when simulating such problems. This approach employs the SBM to deal with the sharp edges of the soil cavity surrounding the foundation system, while the MFS is used to model the other sections of the soil-foundation boundary. The characteristics of the methods employed in the proposed approach, specially their meshless nature, facilitates a straightforward formulation and implementation, contributing to its simplicity. Furthermore, the hybridisation of SBM and MFS yields considerable computational advantages compared to previously proposed methods. The formulation of the method is outlined together with some ideas for further development of the method