Simulations of single and multiple spherical particles settling under gravity in the presence of a vertical wall are performed. In this study, the Reynolds number based on a characteristic velocity set to unity and the diameter of the sphere is varied in the range from 1 to 1000 and the density ratio in the range from 1.5 to 8. Interaction between particles as well as with the wall is investigated. The particles are modeled by using the Volume of Solid (VOS) approach, a method based on the Volume of Fluid (VOF) approach. The simulations showed that the motion of both single and dual spheres falling side by side is affected by the wall. Also, a dominant frequency for the oscillatory movements perpendicular to the wall was detected.