  We present a novel approach to compute Generalized Parton Distributions
within the Lightfront Wave Function overlap framework. We show how to
systematically extend Generalized Parton Distributions computed within the
DGLAP region to the ERBL one, fulfilling at the same time both the
polynomiality and positivity conditions. We exemplify our method using pion
Lightfront Wave Functions inspired by recent results of non-perturbative
continuum techniques and algebraic nucleon Lightfront Wave Functions. We also
test the robustness of our algorithm on reggeized phenomenological
parameterizations. This approach paves the way to a better understanding of the
nucleon structure from non-perturbative techniques and to a unification of
Generalized Parton Distributions and Transverse Momentum Dependent Parton
Distribution Functions phenomenology through Lightfront Wave Functions.
