Along this active exploration belt, applying the conventional effective stress methods and algorithms, wherein the maximum stress ([Formula: see text]) is vertical and can be attained from the subsurface overburden (OB), would lead to unintended and unrealistic results. In the frontier active thrust belt of the Gulf of Mexico, the unique geomechanical setting of [Formula: see text] as the lateral salt creep and the minimum stress ([Formula: see text]) as the OB greatly impact the formation geopressure framework. The buoyancy of thick salt produces two different pressure gradients (PGs) above and below the salt. Moreover, the inclusion of rafted sediments in the salt and the plowing rubble zone at the salt base substantially affects the pore and fracture pressures (PP-FP) profiles. These proceeding geologic settings are the foundation for the conceptual framework. Building an alternative predrilling prediction numerical model based on these anomalous geomechanical settings and the lack of adequate seismic velocity is a challenge. All the available direct measured or pertained PP-FP data from the key wells are collected and tabulated. Prediction models are established by correlating the populated database and generating the empirical algorithm for each data gather. A substantial discrepancy occurs between above and below the salt sections where high PG in the sediment above the salt and slow PG development below the salt. There is considerable regressive pressure (average 2 ppg) in PP-FP subsalt sections. The PP within the salt is contingent on the presence of sediment inclusions, and a substantial FP drop in the rubble zone leads to the extensive loss of mud circulation. The trend lines of each data gather led to generating two depth-dependent equations for the PP-FP above and within the salt and two others for the subsalt. The prediction models are validated against a blind data set. Before drilling, this model establishes the PP-FP versus the sediment subsea depth in an abnormal geomechanical setting and the lack of coherent vertical seismic velocity for PP-FP predictions.