In this talk I review the basics of Leptogenesis, a scenario of new Physics in which the baryon asymmetry of the Universe is a consequence of the same mechanism beyond the generation of the neutrino masses. I will then focus on some developments of the theory, with particular emphasis on the impact of flavour on the calculations. This will set the background for the final part, where I present a model of Leptogenesis inspired by SO(10) GUT theories and analyse the predictions that a special class of its solutions casts on the same neutrino parameters that experiments currently try to measure.