报道指出，伊朗提出以重启霍尔木兹海峡为条件，交换美国解除对伊朗港口封锁；同时要求新的海峡航行法律框架并保证不再对伊朗采取军事行动，并把伊朗核谈判暂缓。阿巴斯·阿拉格奇在赴俄期间向 Vladimir Putin 重申与俄罗斯深化战略合作，并告知巴基斯坦：若美方撤除封锁并谈妥框架与安全承诺，冲突可结束。Brent 原油连续第六个交易时段上涨，收在每桶约108美元（约0.68美元/升）；美国原油收在每桶约96美元（约0.60美元/升），并因霍尔木兹实质停摆造成的供应挤压而持续受看多。
欧洲与波斯湾部分领袖对进展迟滞不满，如 Friedrich Merz 认为美国在 Tehran 面前被「羞辱」。许多海湾与欧洲官员认为过渡协议至少需要六个月才能完成，先开放海运、再谈核问题；但 Donald Trump 重申原子计划须同时解决，封锁将持续。Marco Rubio 指出若「开放」等同于由 Tehran 掌控，将是不可接受。与此同时，黎巴嫩与以色列虽将停火延长三周至五月中旬，但仍互相指责违反停火；黎巴嫩以色列边界冲突昨周日又有 14 人死亡（其中 2 名儿童），Hezbollah Secretary-General Naim Qasem 重申不会放下武器，并拒绝直接谈判。
The White House said Donald Trump held a national-security meeting on Monday to discuss Tehran’s offer, and Karoline Leavitt said U.S. red lines remain clear: any deal to end the eight-week crisis must block Iran from obtaining a nuclear weapon. The Wall Street Journal and Senator Lindsey Graham both conveyed skepticism because Tehran appeared to seek immediate pressure relief first while deferring nuclear issues to later talks.
The proposal reported by Axios and others was that Iran would reopen the Strait of Hormuz if the United States lifted its naval blockade, agreed to a new legal traffic framework, and offered assurance against future military action; Iran would then delay broader nuclear negotiations. On a Russia visit, Foreign Minister Abbas Araghchi reiterated Tehran’s commitment to Moscow and said in messaging to Pakistan that the conflict could end if these security and maritime terms were met. The market reacted with a supply-tightness bias: Brent crude rose for the sixth straight session, finishing above $108 per barrel (about 0.68 USD/L), while U.S. crude closed above $96 per barrel (about 0.60 USD/L).
Foreign governments remained frustrated, including Friedrich Merz, who said the U.S. seemed being humiliated in Tehran talks. Middle East and European assessments still argued an interim arrangement is likely to take at least six months, reopening shipping before deeper nuclear constraints, but Donald Trump has tied any deal to resolution of the atomic program and said the blockade stays in force. Marco Rubio rejected an arrangement that effectively leaves the straits under Iran’s control. At the same time, Lebanon-Israel ceasefire disputes continued despite a three-week extension to mid-May; 14 people were killed in Lebanon (including two children), and Hezbollah Secretary-General Naim Qasem said the group would not disarm and rejected direct Lebanon-Israel talks.