We report the novel phase diagram of superconductivity (SC) and antiferromagnetism (AFM) in heavy-fermion (HF) pressure(P)-induced superconductors CeRhIn 5 and CeIn 5 through nuclear-quadrupole-resonance (NQR) measurements under P. The P-induced superconductivity in CeRhIn 5 coexists with AFM on a microscopic level in P=1.5–1.9GPa. By contrast, in CeIn 3 , the P-induced phase separation of AFM and paramagnetism (PM) takes place without any trace of a quantum phase transition. The outstanding finding is that SC sets in at both the phases magnetically separated into AFM and PM in P=2.28–2.5GPa.