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The notion of CR-submanifold in Kaehler manifolds was introduced by A. Bejancu in 70’s, with the aim of unifying two existing notions, namely complex and totally real submanifolds in Kaehler manifolds. Since then, the topic was rapidly developed, mainly in two directions: - Study CR-submanifolds in other almost Hermitian manifolds. - Find the odd analogue of CR-submanifolds. Thus, the notion of semi-invariant submanifold in Sasakian manifolds was introduced. Later on, the name was changed to contact CR-submanifolds. In this talk we focus on those proper contact CR-submanifolds, which are as closed as possible to totally geodesic ones in the seven dimensional spheres endowed with its canonical structure of a Sasakian space form. We describe these submanifolds in dimension 4 and 5. This talk is based on some papers in collaboration with M. Djoric and L. Vrancken.