  The decade-old technique of combining NLO-corrected hard process with
LO-level parton shower Monte Carlo is now mature and used in practice of the
QCD calculations in the LHC data analysis. The next step, its extension to an
NNLO-corrected hard process combined with the NLO-level parton shower Monte
Carlo, will require development of the latter component. It does not exist yet
in a complete form. In this note we describe recent progress in developing the
NLO parton shower for the initial-state hadron beams. The technique of adding
NLO corrections in the fully exclusive form (defined in recent years) is now
simplified and tested numerically, albeit for a limited set of NLO diagrams in
the evolution kernels.
