We present the state of the art of the Local Analytic Sector subtraction. The scheme is now complete at NLO in the massless case for the treatment of initial- and final-state radiations. Its flexibility has been improved by the introduction of damping factors, which can be tuned to reduce numerical instabilities, though preserving the simplicity of the algorithm. The same degree of universality has been reached at NNLO for final-state radiation, where we derived fully analytic and compact results for all integrated counterterms. This allows us to explicitly check the cancellation of the virtual infrared singularities in generic processes with massless final-state partons.