The non-productive time (NPT) while drilling oil and gas wells may be responsible for losing millions of dollars, especially in offshore activities. Bad pore pressure predictions may be responsible for large NPT or even the definitive loss of well in geologically complex fields, such as evaporate basins. On these complex fields, the conventional pore pressure prediction methods sometimes are not capable of providing good predictions, even if a considerable number of wells has been already drilled. This thesis studies alternative techniques which may attend for pore pressure prediction in these cases. In order to develop a consistent knowledge about the case, a literature review has been conducted in two ways: to understand what are the risks associated to drilling in evaporate basins; to review what are the available methods for pore pressure prediction (conventional methods, seismic methods, 3D geological and geomechanical modeling, finite element methods and basin modeling). During analyzing geomechanical drilling risks in these sites, and the difficulties found by conventional methods to predict it, it was noted that the complexity imposed by the presence of salt bodies can be reduced by using methods that make a strong use of geological knowledge on their workflow. It has been concluded that basin modeling and 3D geological and geomechanical modeling have a good potential to be applied for this goal. The techniques, nevertheless, do not have pore pressure prediction as their main goal, but can be applied to or adapted for such finality. This work presents some methodology adaptations and/or applications of both of techniques directed to pore pressure prediction goals. In order to validate the presented proposals, case studies has been developed, and their results were considered satisfactory.