Wellbore Stability drilling through salt zones is an important current endeavor in many areas offshore of Brazil. The conventional well design workflow does not recognize the complex nature of the stress field near these salt bodies. Therefore, a reliable assessment of the in-situ stresses must be carried out considering a field (global) scale of the problem and the presence of major structures in the overburden. The proposed stability analysis is carried out in three stages. Firstly, a global finite element analysis is employed to evaluate the in-situ stresses at a global scale considering the geometry of a salt body. Secondly, the global scale in-situ stresses are introduced in a local model, that we call substructure, by using two proposed stress transfer techniques called the Inverse Distance Weighted Technique (IDWT) and the Stress Gradient Technique (SGT). We define Substructure as a set of points forming a section or a complete trajectory of an oil well. Finally, optimal mud weights are calculated combining numerical stress results with analytical elastic equations. These two stress transfer techniques are also proposed to be used to transfer stresses to submodels inside a global model domain for submodeling wellbore stability purposes. The term submodel is defined as a finite element mesh with a smaller size relative to the size of the global model.