Iran on Sunday released a proposal on ending the war on all fronts that included a demand for compensation for war damages and emphasised Iranian sovereignty over the Strait of Hormuz.
The U.S. had proposed an end to fighting before starting talks on more contentious issues, including Iran's nuclear programme.
S&P 500 futures wobbled lower on the news and European futures held flat, though it was really the artificial intelligence sector driving equities.
South Korean shares surged almost 5% to new record highs led by chipmakers Samsung Electronics and SK Hynix, with the latter's stock price almost tripling since the start of the year.
Later on Monday, British Prime Minister Keir Starmer will begin a political fightback in a speech that says rebuilding relations with the rest of Europe will be his government's defining mission, as he moves to quell growing calls to quit.