We evaluate the Cronin effect in pA collisions at the CERN LHC and at RHIC in the framework of Glauber-Eikonal model of initial state multiparton interactions. Taking carefully into account all kinematical constraints of each multi-parton interaction process we obtain a softening of the spectrum of produced partons, improving in this way the agreement of the model with the recent measurements of pi0 production in d+Au collisions at sqrt{s}=200 AGeV.
