Explicit counterterm construction is presented in a symmetry breaking background for the 2PI effective action of the self-interacting one-component scalar field including skeleton diagrams to O(lambda(2)). The applied strategy is an extension of our treatment of the 2PI-Hartree approximation [G. Fejos, A. Patkos, Zs. Szep, Nucl. Phys. A 803 (2008) 135, arXiv: 0711.2933]. The procedure is also applied to the O(N) model.
