Iran live updates: Saudi Arabia says 2 of its airports were damaged in overnight strikes

President Donald Trump's administration on Tuesday announced new sanctions on several entities and individuals accused of supporting Iranian arms procurement networks, an effort the State Department said would support Operation Economic Outcast -- the U.S. economic pressure campaign against Tehran that Trump described as an "economic D-Day."

State Department spokesperson Tommy Pigott said in a statement, "Over the last year, Iran has continued its attempts to procure arms and related materiel, expanding its destabilizing activities in violation of the restored UN measures. Today's sanctions target these activities and third-country entities that further Iran's defense industry and proliferation activities."

Pigott also said that the State Department will offer rewards of up to $15 million for "information leading to the disruption of the financial mechanisms of Iran's Islamic Revolutionary Guard Corps" and its branches.

-ABC News' Shannon K. Kingston

The Iranian Foreign Ministry on Tuesday condemned Israeli Prime Minister Benjamin Netanyahu's visit to the United Arab Emirates, warning of "very dangerous consequences" of Israeli "presence in the region."

"All countries in the region must be wary of the consequences ... of such a presence, which threatens the collective peace and security of the region," the ministry said, as quoted by Iranian state media outlets.

"Regional governments are expected to understand their responsibility for regional peace and stability," the statement added.

-ABC News' Will Gretsky

President Donald Trump said Tuesday that the war with Iran would be “over with very soon," but did not offer any details.

“Iran will not have a nuclear weapon. And they're failing very badly, very badly. That'll be over with very soon. It'll be over with very, very soon,” Trump said.

“They will not have a nuclear weapon. And oil prices are going to be tumbling down, just like they were before I had to make that little excursion to the Islamic Republic of Iran,” Trump said.

Trump’s remarks come after he rejected a ceasefire proposal from Iran over the weekend, telling reporters “that deal would not be acceptable.”

“'I’m rejecting their deal. They want to make a deal where we open the Strait immediately because they're losing so badly,” Trump said.

“We're winning tremendously -- we have total control of the Hormuz Strait,” he said on Saturday.

-ABC News’ Nicholas Kerr and Michelle Stoddart

Qatar is continuing its role as a mediator between Iran and the U.S., Qatari Foreign Ministry spokesperson Dr. Majid bin Mohammed Al-Ansari said Tuesday.

"The State of Qatar continues its meetings and exchange of messages between the parties to build common ground that brings viewpoints closer and leads to a peaceful solution,” he said. “It affirms its continued role in mediation and support for efforts aimed at de-escalation and restoring full freedom of navigation through the Strait of Hormuz.”