  A simplest case, where a contribution to a color ordered multi-gluon
amplitude, describing a three body partonic interaction, can split into two
weakly correlated two-body gluon scattering amplitudes and may thus contribute
to a Double Parton Interaction, is briefly discussed. We find that the color
ordered amplitude is not enhanced in the typical configuration generated by a
DPI, where the transverse momenta of final state gluons are compensated
pairwise, while a dominant contribution to the multi-gluon amplitude is due to
terms proportional to the fusion amplitude of two initial state gluons. Which
corresponds to an amplitude effectively describing a two rather than a
three-body partonic interaction.
