This paper consists of an extension of simulation with direct estimation of stress intensity factors to the three-dimensional case. Here, it combines X-FEM with localized multigrids and direct estimation of quantities of interest along the crack front (SIF, T-stress, etc.) based on crack tip asymptotic series expansion. In practice, a three-dimensional patch is introduced locally with a truncated basis of Williams series expansion and is linked in a weak sense with the X-FEM localized multigrids. Some examples (with available analytical solutions) illustrate the efficiency and the robustness of the method. These examples consider planar cracks with curved front, but the proposed method aims to apply to any continuously curved crack.