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We study integrable models solvable by the nested algebraic Bethe ansatz andpossessing the GL(3)-invariant R-matrix. We consider a composite model wherethe total monodromy matrix of the model is presented as a product of twopartial monodromy matrices. Assuming that the last ones can be expanded intoseries with respect to the inverse spectral parameter we calculate matrixelements of the local operators in the basis of the transfer matrixeigenstates. We obtain determinant representations for these matrix elements.Thus, we solve the inverse scattering problem in a weak sense.

GL(3)-Based Quantum Integrable Composite Models. II. Form Factors of Local Operators