The exclusive vector meson production in electron - ion collisions for the energies of the future colliders is investigated considering the possible states of nucleon configurations in the nuclear wave function and taking into account of the non-linear corrections to the QCD dynamics. The results for the coherent and incoherent φ and J/ψ production in eAu collisions indicate that a future experimental analysis of these processes can be useful to constrain the description of the QCD dynamics at high energies.