A key concern of genetic social psychology is to understand the possibilities for change through different kinds of contact between members of groups in protracted conflicts. This is pursued through an interacting multilayer lens that takes the individual self as a unit, set within a particular intrapersonal, intergroup and societal ideological context. The role of asymmetry is central to the contact hypothesis, yet it is often ignored in determining how each group perceives and understands the other and acts on that contact whether through planned or random meetings that results in positive, negative or ambiguous outcomes. The Israeli–Palestinian conflict stands at the base of the chapter, using empirical findings from a range of settings to discuss the role of intergroup prejudice affecting contact and how this might usefully map onto the processes of microgenesis, ontogenesis and sociogenesis of social representations of the conflict. This conflict situation is compared and contrasted with the one described by Psaltis (this volume) to arrive at a general model of intergroup conflict and contact within the framework of genetic social psychology.