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We consider seven-vertex two-dimensional integrable statistical model. Withthe help of intertwining vector method we construct its counterpart integrablemodel of SOS type. More general models of both types are constructed by meansof fusion procedure. For SOS models we calculate the Boltzmann weights in termsof terminating hypergeometric series ${}_{9} F_8.$ Then using the similaritytransformation for $R$-operators we construct a new family of vertex modelscontaining the 11-vertex model as the simplest representative. For this new setof models the vertex-SOS correspondence is constructed: we find theintertwining vectors, show that they do not depend on spectral parameter andthe SOS statistical weights are similar to those obtained from the 7-vertexmodel.

Boltzmann weights and fusion procedure for the rational seven-vertex SOS model