The reinforcement technique with rigid inclusions is considered as a practical, economical, and time-saving foundation solution. Several studies have recently focused on the static and cyclic behaviour of this reinforced foundation system. However, its seismic behaviour has not yet been widely studied. This paper presents a state of the art in the dynamic soil-structure interaction studies on foundation reinforced with rigid inclusions. Special attention is given to the estimation of the kinematic bending moments of inclusions in different soil deposits comprising several stiffness contrasts. The kinematic bending moments calculated by a transient dynamic analysis are compared with those obtained by means of pseudo-static Winkler model approach. The results show that, compared to the dynamic approach, the pseudo-static approach is able to predict the location where the maximum bending moment develops but underestimates its amplitude for important values of the stiffness contrast at the corresponding interface between soil layers.