  We discuss a path toward the generalisation of the nested soft-collinear
subtraction scheme to arbitrary $2\rightarrow n$ processes. The scheme is
designed to provide an efficient and process-independent procedure to extract
and regulate infrared (IR) singularities arising from unresolved real radiation
and combine them with explicit singularities in virtual corrections. The new
approach is based on a reorganisation of the relevant subtraction terms into
simple combinations of a relatively small number of recurring structures. This
strategy leads to a drastic reduction in the computational effort required to
derive integrated subtraction terms, while preserving the full generality of
the scheme. We believe that this approach will allow for tackling the issue of
regularising IR divergences at next-to-next-to-leading order in the strong
coupling constant for arbitrary, multi-parton processes.
