The studies on `Cross-migrative triangular norms' published by Fodor, Klement and Mesiar are revisited. The relation between the additive generators of two triangular norms involved in structural characterizations about cross-migrative tnorms is clarified. Some results from Corollary 4.3 and Corollary 5.3 in the mentioned paper are corrected. Furthermore, some theorems in other literature which were obtained based on these results are revised too.