Abstract Does an ongoing stalemate in a peace process affect the international agenda toward the conflict and international perceptions about policies that should be adopted to resolve it? We provide a tentative answer to this question by drawing insight from analysis of developments and trends in international media attention to key terms and concepts in the context of the Israeli–Palestinian conflict during cycles of violence, as well as periods of rapprochement and peace negotiations, in the last two and half decades (1996–2021). We find that although attention to the Israeli–Palestinian peace process has been declining over the years, much of the international discussion continues to be devoted to relaunching a negotiation process leading to a two-state solution. The ongoing stalemate in such “process,” we show, provides ample opportunities for alternative approaches to emerge advocating alternative endgames (e.g., one-state), international pressure (e.g., Boycott, Divestment, and Sanctions), or unilateral steps (e.g., annexation). Each of these approaches promotes an alternative vision and provides a different path and employs its own terminology and vision of the future. The Israeli–Palestinian case study helps illustrate what may happen to peace when the process is stalled, and how a stalemate can produce change in the international debate on the conflict and push for the emergence of new policy directions and agendas.