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Small-gain type sufficient conditions are established guaranteeing weak global asymptotic stabilization for composite autonomous systems by means of a sampled-data feedback. Our main result generalizes the well known Small-Gain Theorem for global asymptotic stability for composite systems with no controls, under the presence of the input-to-state-stability. The sufficient conditions we propose enable us to derive a set of algebraic sufficient conditions for the existence of a sampled-data feedback stabilizer with zero-order hold. The work is a continuation of author's work published in same journal.