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Parallel session NS3 was devoted to review and discuss various aspects of the QCD phase diagram, ranging from matter at low temperatures and high densities as the one present in compact objects to matter at high temperatures and low densities, as the one obtained in heavy ion collisions. Different aspects of the phase transition, as the possible existence of a critical end point, the onset of deconfinement and the effects of strong magnetic fields on the phase diagram were discussed during this parallel session and outlined in this text. The complete discussions are presented separately in the texts prepared by the speakers and by the Rapporteur.