The drive has intensified since Trump withdrew on May 8 from the 2015 nuclear deal between Tehran and world powers.
Following the U.S.'s unilateral exit, the Trump administration has been seeking to have other countries follow suit by raising the specter of snapped-back sanctions which would punish businesses and governments from activities that were allowed under the agreement.
But Iran's most powerful authority Supreme Leader Ayatollah Ali Khamenei said on Saturday negotiations with the United States would be an "obvious mistake". "We are seeking changes in the Iranian government's behavior".
As Pompeo noted in his speech to Iranian-Americans and others in California on Sunday, the centerpiece will be the re-imposition of USA economic sanctions; the first batch will go back into force on August 4 targeting the Iranian automotive sector and trade in gold and other metals.
Imran Khan claims victory in Pakistan election
Khan offered to investigate all the allegations of rigging and said he wants to "unite" the country under his leadership. The PTI has won 76 of the 272 seats in Pakistan's national assembly and is leading in 43.
On Monday, the White House said the U.S. president's tweet shows he is not going to tolerate critical rhetoric from Iran and insisted Mr Trump is not escalating tensions between the two countries. "This especially goes for our allies in the Middle East and Europe, people who have themselves been terrorized by violent regime activity for decades", said Pompeo.
"War with Iran is an idea that has a lot of support among conservatives and members of Trump's cabinet".
Rouhani's apparent threat earlier this month to disrupt oil shipments from neighbouring countries came in reaction to looming United States sanctions and efforts by Washington to force all countries to stop buying Iranian oil.
As for how Trump's response has been received, Iran's state news agency said the tweet was typical of the American president's "bullying words".
Turkish court rules that U.S. pastor move from jail to house arrest
His next hearing is due to be on October 12. "I believe in and support Turkey's territorial integrity", he told the court. The case has strained ties between North Atlantic Treaty Organisation allies Turkey and the United States.
With the economic pressure, Mr Trump said earlier this month that "at a certain point they're going to call me and say 'let's make a deal, ' and we'll make a deal".
"The United States under President Trump will not stay silent either", he said.
"To the regime, prosperity, security, and freedom for the Iranian people are acceptable casualties in the march to fulfill the Revolution", Pompeo said in remarks delivered at the Ronald Reagan National Library in Simi Valley, California.
When asked if Trump risked inciting war with Iran, White House press secretary Sarah Sanders told reporters Monday morning, "if anybody is inciting anything, look no further than to Iran".
In the case of North Korea, the public war of words cooled quickly and gradually led to the high profile summit and denuclearisation talks. "The Europeans will have to decide to work with the USA economy or the Iranian economy and I believe they will choose your economy".
Trump calls media 'hypocrites' for saying he was too nice to Putin
It restated the U.S. intelligence community's assessment that Moscow did extensively interfere, and continues to interfere. As he spoke, news was breaking out of Washington that Putin had been invited to the White House this fall.