Teaching Intercultural Communicative Competence (ICC) to EFL learners from the Natural Sciences is akin to swimming against the current: on one end, they are being trained by their majors to see reality in objective terms; but on the other end, ICC development requires them to focus on the subjective nuances of how culture mediates language. This workshop describes an ICC teaching approach for tackling this challenge: First, by explaining the basic theoretical foundations that guide it. Second, by showcasing GenAI-based strategies developed for triggering in students the necessary self-reflective processes that may lead towards ICC development. Participants will be given hands-on access to a chatbot that was prompt-engineered for eliciting conversations on the intersectionalities between the objective and subjective aspects of certain natural phenomena. The interactions focus first on the objective components of these phenomena, and then slowly guide students towards the realization that what they thought is an “objective” reality from the viewpoint of Physics, Chemistry or Mathematics, is really a “subjective” one once we factor in how different cultures around the world perceive those same phenomena. As a result, a feasible strategy for using GenAI as a stepping stone for developing certain foundational ICC-related skills will be demonstrated.