Iranians walk past Sam-6 missiles displayed in the street during a commemoration of the 1980-88 Iran-Iraq war, south of Tehran on September 26, 2016.
Such actions could include placing mines in the Strait of Hormuz, harassing USA navy craft with smaller warships and also using anti-ship missiles, Mongrenier said.
Trump also said he would order military action in the event that Iran had to be prevented from getting nuclear arms, but that he was not eager for war.
Some conservative congressional Republicans on Sunday called on the Trump administration to take a tough stance.
Iran has repeatedly criticized European countries for not acting to save the deal.
Mr Rouhani announced on May 8 that Iran would stop observing some restrictions on its stocks of enriched uranium and heavy water agreed under the deal, a move he said was in retaliation for the unilateral U.S. withdrawal. I make my own decisions, Mike Pompeo is doing a great job.
Berlin has not formally accused any country of the attack.
"In particular, the U.S. side should alter its extreme pressure methods".
France has not taken a position on the incident.
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The EU has also pushed back. Supposed evidence of Iranian involvement has failed to win over all global observers, though allies including the U.K., Israel and Saudi Arabia have accepted the American version of events.
The pull out angered the remaining world power signatories. He sent a message through Japanese Prime Minister Shinzo Abe for Iran's Supreme Leader Ayatollah Ali Khamenei.
The agency´s source did not specify how many agents were arrested or if they were operating only in Iran.
Company officials had said Thursday that the vessel first had been hit toward the stern by what appeared to be an artillery shell, causing a fire in the engine room.
"The problem is that we are struggling, even in the midst of this solid evidence, to persuade our allies to join us in any kind of a response and it shows just how isolated the United States has become", he told CBS.
The Japanese Foreign Ministry even implied that the U.S. or Israel could potentially be behind the incident.
Earlier in the day, Saudi-owned newspaper Asharq al-Awsat released an interview with Crown Prince Mohammed bin Salman, in which he said he believed Iran was behind the attack.
"Even if it's the United States that makes the assertion, we can not simply say we believe it", he said.
In the United Kingdom, acceptance of the U.S. government's narrative has fallen on partisan lines. Washington quickly blamed Iran.
But prominent members of the Labour Party have raised concerns.
"Now we need to make sure that we continue to do that so that we ultimately we get the opportunity to convince Iran that it's not in their best interest to behave in this way", Pompeo added.
Six tankers have been attacked in the Gulf in recent weeks.
He added: "But Iran is clearly in the wrong in its activities in the Gulf. We want them to be clear-eyed in whatever it is they are planning".