A parametric geometric metamodel is built for a nonlinear magnetostatic problem, using proper orthogonal decomposition approach combined with radial basis functions interpolation. Furthermore, the geometrical variation of the problem is modeled using a RBF interpolation for smooth mesh deformation. The metamodel is applied for a single-phase EI inductance, the aim is to create precise flux cartographies based on few solutions of the original finite element (FE) model. The results show that the POD-RBF approach can reduce efficiently the evaluation time of a parametric nonlinear magnetostatic problem.