A new approach to compute Feynman Integrals will be presented. It relies on an integral representation of a given Feynman Integral in terms of simpler ones. Using this approach, we present, for the first time, results for a certain family of non-planar five-point two-loop Master Integrals with one external off-shell particle, relevant for instance for H + 2 jets production at the LHC, in both Euclidean and physical kinematical regions.