We present an analysis of the single inclusive particle production in proton-proton and proton-nucleus collisions within the Color Glass Condensate (CGC) formalism. The dipole model used comes from the asymptotic solutions of the Balitsky-Kovchegov evolution equation, with parameters constrained both to DIS HERA data and to single inclusive hadron production at RHIC. One gets a quite good description of the central rapidity LHC data, showing that the CGC formalism can be an alternative to the collinear approach. Predictions for the nuclear modification ratios of charged hadron and photon production in the forward region, where the high parton density effects should be more important, are also shown.