In this journal theme introduction, first, I explain how comparative philosophy as explored in the journal Comparative Philosophy is understood and how it is intrinsically related to the constructive engagement strategy. Second, to characterize more clearly and accurately some related methodological points of the constructive-engagement strategy, and also to explain how constructive engagement is possible, I introduce some needed conceptual and explanatory resources and a meta-methodological framework and endeavor to identify adequacy conditions for methodological guiding principles in comparative studies. Third, as a case analysis, I show how the constructive-engagement reflective practice bears on recent studies of Chinese and comparative Chinese-Western philosophy, especially in the past decade, for two purposes: to illustrate the foregoing theoretic characterization of the constructive engagement strategy, and to identify and explain some constructive morals that might have general significance for comparative studies.