Trump says damage to Iran's nuclear sites is 'far below ground level'

President Donald Trump's meeting with advisers in the Situation Room was underway on Tuesday afternoon, a White House official confirmed, as Israel and Iran continue to trade strikes.

The meeting came hours after Trump arrived back in Washington after leaving the G7 summit in Canada early, citing tensions in the Middle East and instructing his national security team on Monday night to be ready in the Situation Room upon his arrival.

Trump earlier on Tuesday denied having had contact with leaders in Iran, saying he hadn't reached out about a potential ceasefire and that he was "not too much in the mood" to negotiate with Iran.

The Israel Defense Forces said it is targeting ballistic missile launch sites in Isfahan, in central Iran, on Tuesday.

"We've struck deep, hitting Iran's nuclear ballistic and command capabilities," the IDF said in a statement.

"We have delivered significant blows to the Iranian regime, and as such, they have been pushed back into central Iran. They are now focusing their efforts on conducting missile fire from the area of Isfahan," the IDF said in a statement.

A "punitive" response for Israel is coming soon, Iran's Army Commander-In-Chief Abdolrahim Mousavi warned Tuesday.

"The operations carried out so far have merely been warnings for deterrence, and a punitive operation will be executed soon," Mousavi said.

"Seriously, a warning is issued to the residents of the occupied territories, especially Tel Aviv and Haifa, to leave these areas for their own safety and not to become victims of Netanyahu’s barbaric actions," he said.

Director of National Intelligence Tulsi Gabbard told CNN on Tuesday that she and President Donald Trump are "on the same page" on Iran’s nuclear timeline.

Gabbard added that Trump "was saying the same thing that I said in my annual threat assessment back in March. Unfortunately, too many people in the media don't care to actually read what I said."

-ABC News' Beatrice Peterson