This article explores the temporalities of peace processes. The objective is not to reflect on ripeness, sequences, or duration, but to question the responsibility assumed by the parties at the negotiation table. For whom do they feel responsible: past, present, and/or future generations? In other words, do they only address current urgent issues to be resolved or do they also view peace processes as opportunities to make a double promise, that is, a promise to past generations and a promise to future generations? To examine this, the article focuses on one case study, the 1963 Elysée Treaty between France and Germany. The analysis shows that this agreement is the outcome of genuine memory work (looking towards past generations) and a determined hope (looking towards future generations).