A new numerical scheme based on the particle method, namely the Moving Particle Pressure Mesh (MPPM) method, has been previously developed by the authors to address the limitation of the conventional Moving Particle Semi-implicit (MPS) method in simulating incompressible flow. In this paper, we shall investigate on a more practical way to extend our MPPM method to handle complex geometry, i.e. by employing an embedded unstructured mesh system to cope with an arbitrarily-complex flow domain. No-slip boundary condition is modelled via placing a series of fixed particles at the wall boundaries, negating the use of ghost particles which are difficult to generate. In order to verify our numerical procedure, the vortex-shedding process behind a cylinder is computed and it is found the numerical result is agreeable with the reference solution.