"We can not believe (the sincerity of) an invitation to negotiation by those who (claim to) have applied the harshest sanctions of history against the dignity and livelihood of our nation", Rouhani said, adding that astonishingly "(committing) crimes and (imposing) pressure on the lives of 83 million Iranians, especially women and children, are welcomed by and have become a source of pride for American government officials ... "That path forward begins now with two new actions".
The U.S. -Iranian confrontation has ratcheted up since previous year, when U.S. President Donald Trump withdrew from Iran's 2015 nuclear deal with major powers and reimposed sanctions that have crippled Iran's economy to force Tehran to renegotiate the pact.
British Prime Minister Boris Johnson, who met with Rohani and Macron at the United Nations, supported Macron, saying, "I think I agree with Emmanuel [Macron]".
Sky News reported that Johnson had invited Rouhani to visit Britain.
The U.S. placed new sanctions on Iran last week in response to its attack on Saudi oil facilities.
Trump has said that no meeting has been scheduled but that he would not rule anything out. "That's why he's a victor".
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"We want peace", Pompeo said.
Trump, in a grim-faced speech Tuesday at the United Nations, warned that the United States would not ease economic pressure on Iran - a condition set by Rouhani for any meeting.
A number of people with dual Iranian and foreign nationality have been held in Iran in recent years and two British-Australian women and an Australian man were detained in September. "All that money paid and wasted".
Speaking on the sidelines of the General Assembly, US Secretary of State Mike Pompeo said Washington was going to ramp up efforts to educate countries on the risks of doing business with Iran's Revolutionary Guard Corps to disentangle them from the Iranian economy.
"The sites that they would use, we weren't allowed to inspect".
At a separate briefing to reporters where Trump spoke on Iran, he said: "They would like to negotiate".
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Johnson said he agreed with Macron that Trump and Rouhani should meet.
It was extremely hard, but we did reach an agreement which was signed, and it was enshrined in the UN Security Council resolution, and without a valid reason or cause, the United States left this agreement. "It was doing very poorly". Their meeting was keenly awaited as it comes amid escalating face-off between Iran and the United States on Tehran's nuclear programme.
The air strikes on the heartland of Saudi Arabia's oil industry damaged the world's biggest petroleum-processing facility and knocked out more than 5% of global oil supply.
"We are all counting on President Xi as a great leader", he said.
Iran has denied responsibility for the attacks that took out half of Saudi Arabia's oil production.
In Yemen, Iran has backed Shi'ite Muslim Huthi rebels fighting the internationally recognized Yemeni government backed by a Sunni-led military coalition.
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India's economic growth is sitting at a six-year low and the government has taken a series of steps to boost the economy. The rupee too appreciated 66 paise to 70.68 against United States dollar following the finance minister's announcements.