  We present our first attempt to develop a model for soft interactions at high
energy, based on the BFKL Pomeron and the CGC/saturation approach. We construct
an eikonal-type model, whose opacity is determined by the exchange of the
dressed BFKL Pomeron. The Green's function of the Pomeron is calculated in the
framework of the CGC/saturation approach. Using five parameters we achieve a
good description of the experimental data at high energies (
$W\,\geq\,0.546\,TeV$). The model results in different behaviour for the single
and double diffraction cross sections at high energies. The single diffraction
cross section reaches a saturated value (about 10 mb) at high energies, while
the double diffraction cross section continues growing slowly
