"I think we will have a great shot at doing a much bigger, maybe, deal," the US president said, adding that any new agreement must be built on "solid foundations".
"They should have made a deal that covered Yemen, that covered Syria, that covered other parts of the Middle East," said Mr Trump, referring to the 2015 accord which he described as "insane".
Meanwhile, Mr Macron agreed that Tehran's influence in the region must be part of negotiations.
He also stressed that - as well as controlling Iran's nuclear programme for the next decade as envisaged by the current agreement - a fresh deal would need to cover its nuclear activities longer-term, as well as its ballistic missile programme.
And he talked about working with President Trump to build a "new framework" in the Middle East - and especially in Syria.
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