A few literature studies have highlighted the dynamic interaction that occurs through the underlying soil among closely spaced structures (SSSI). This interaction, although neglected in most technical codes, could affect the seismic response of structures located in densely urbanized areas. Extensive studies on this topic are still limited and more refined approaches accounting for soil continuity are needed. In this context, the work illustrates a three-dimensional numerical study aimed at quantifying the effect of SSSI on the dynamic impedance of a shallow rectangular rigid foundation in the presence of two lateral neighbors. The key factors accounted in the parametric study are: (i) the relative distance between three nearby foundations, (ii) the position of the foundation in the group and (iii) the input frequency of the harmonic loads exciting the three foundations. At this stage of the work, a viscoelastic linear behavior was assumed for the soil. Due to SSSI, a decrease of the static stiffnesses of the reference foundation in the group was computed. This reduction depends on the distance among the foundations and its position in the group (central or lateral). Lateral foundations are less affected by the mutual interaction.