This study examines the possible contributions of the critical perspectives and conceptual frameworks of the Conflict Resolution field to address “civilizational level” conflicts. The possibilities and limitations of dialogue processes at the civilizational level are critically examined. While recognizing the main assumptions and contributions of dialogue processes to deal with cultural/civilizational conflicts, this study puts forward an alternative and more practical vision: that of creating Spheres of Dialogic Interaction (SODI). In the second part of the study, the social and political backgrounds, practical contributions, and limitations of two recent projects the “Dialogue among Civilizations” (DaC) and the “Alliance of Civilizations” (AoC) are analyzed. It is argued that with its action-oriented agenda and the practical environment conducive to flexible, interactive and reflexive interaction, the ongoing AoC project is an important venue for creating SODI.