Pressure dependent studies on technologically important ferroelectric material Pb_0.70Ca_0.30TiO₃ show the occurrence of a new hitherto unreported pressure dependent phase transition around 4 GPa. In the pressure range 4– 14 GPa, the parent tetragonal (P4mm) phase of Pb_0.70Ca_0.30TiO₃ transforms in to a monoclinic (Cm) phase before attaining its paraelectric cubic (Pm3m) phase around 15 GPa. High pressure Raman studies reveal the presence of a critical pressure above which the ferroelectric phase starts to reappear in the paraelectric phase. This critical pressure is found to be much lower than the critical pressure observed in pure PbTiO₃. Possible reasons for this lowering of the critical pressure are presented.