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