This report presents a two-step components selection method to compose the components for compositional verification. This method employs different methods for the selection of components to be composed during compositional verification. Also, this report presents some automata transformation strategies to improve the efficiency of composing and projection. This enhanced compositional verification method is applied to a set of large and complex realistic industrial examples to evaluate and compare the performance of different methods for components selection. The example profisafe_i6 [MM03] [MM02] [PN02], which was never verified for the language inclusion check before, is verified first by this enhanced compositional verification method.