Ti K edge x-ray absorption near-edge structure (XANES) measurements across the pressure induced ferroelectric (FE)-paraeletric (PE) phase transition in PbTiO 3 a prototypical ferroelectric perovskite, are reported for the first time. A quantitative analysis of the XANES allows us to obtain the relative local displacement, directly related to the local electric polarization, of Ti and Pb atoms under pressure. In particular, we found that above the critical pressure, in the so-called cubic-paraelectric phase, the Ti atoms remain locally displaced from their cubic site indicating that this phase transition has in a general way an essential order-disorder component. However the magnitude of these local displacements is strongly affected by the applied pressure as opposed to what happens as a function of temperature. These conclusions have important consequences in the long standing controversial debate on the interpretation of the ferroelectric phase transition of PbTiO 3 , and related family compounds.