In this paper, the finite element method is employed in conjunction with the abductive network to predict the optimum blank contour of an elliptic cylindrical cup of Magnesium AZ31with ear-less in warm deep drawing. Different cup heights combined with various aspect ratios and various temperature of the elliptic cylindrical cup are taken into account as the process parameters in this study. A finite element-based code is utilized to investigate the material flow characteristics under different process parameters, and the abductive network is then employed to synthesize the data sets obtained from numerical simulations, thus establishing a predictive model. From this model, an optimal blank contour for producing Magnesium elliptic cylindrical cup with ear-less can be found. Experiments were carried out with Magnesium sheet blanks at various temperature for some cases, and the results of experiments show good agreement with the predictive model.