Iran latest: Trump says negotiations with Iran could restart this week

The U.S. naval blockade of the Strait of Hormuz went into effect on Monday morning, with President Donald Trump threatening to eliminate Iranian ships that try to run it. 

By the end of the day, signs that a new round of peace talks may be in the works started swirling. Two Pakistani officials, speaking on the condition of anonymity, told the Associated Press that the country has offered to host a second round of negotiations in Islamabad. 

Vice President JD Vance, left, talks to Pakistan's Chief of Defence Forces and Chief of Army Staff Field Marshall Asim Munir, right, and Pakistani Deputy Prime Minister and Foreign Minister Mohammad Ishaq Dar, center, before boarding Air Force Two af

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In an interview on FOX News Channel’s "Special Report," Vice President JD Vance acknowledged that they "did make some progress" on the U.S. demand that Iran give up its nuclear material and implement a way to confirm that uranium cannot be enriched in the future. 

In Washington, federal lawmakers returned to Capitol Hill and possibly a smaller spending request from the White House to pay for the Iranian conflict. Senate Majority Leader John Thune (R-SD) told reporters he believed the original $200 billion ask "has been scaled back."

Here’s the latest from Tuesday:

399 US service members wounded in Iran war

2:49 p.m. ET: Capt. Tim Hawkins with U.S. Central Command provided the official injury count of U.S. service members injured since the start of the war with Iran. 

The total number injured is 399, with 354 of them having already returned to active duty. There have been 13 confirmed killed in combat.

Trump says US-Iran talks could resume this week

1:20 p.m. ET: President Trump spoke with the New York Post and confirmed a second round of in-person negotiations with Iran "could be happening over the next two days."

Possible meeting locations for the talks include Europe or Islamabad. 

Negotiations could begin on Thursday

12:13 p.m. ET: Two U.S. officials said discussions for further in-person negotiations between the U.S. and Iran were still ongoing. A diplomat from one of the mediating countries said both sides had agreed to meet. 

According to the U.S. officials, the talks could happen as early as Thursday, but nothing has been confirmed yet. 

Two Pakistani officials said the first talks were not just a one-off effort but more of an ongoing process. 

One tanker made it through the Strait of Hormuz

10:15 a.m. ET: The U.S.-led blockade in the Strait of Hormuz has been in effect for 24 hours. 

It is still uncertain the extent of the blockade and which ships will comply. Monday, multiple tankers approached the strait but turned around. One, however, did reverse course and make it through early on Tuesday. 

Israel and Lebanon to meet in DC

7:50 a.m. ET: For the first time in decades, representatives from Israel and Lebanon are scheduled to meet to discuss a road to a potential peace deal. 

The preliminary talks will be focused on setting parameters between the two sides. Lebanon has looked to have a ceasefire, but Israel wants to maintain the position of the disarmament of Hezbollah. At this point, Israel has not committed to a withdrawal of their military action. 

Since the two-week ceasefire with the war in Iran has taken place, Israel has continued its air and ground campaign, insisting the ceasefire does not include Lebanon. 

Oil prices continue to slip Tuesday following early rally

6:15 a.m. ET: Oil prices fell and Asian stocks were trending higher as the hopes of a second round of talks between the U.S. and Iran continued. 

Benchmark U.S. crude fell 1.7% early Tuesday to 97.37 a barrel and Brent crude was down 0.9% to $98.49 a barrel. 

In the Asian market, Tokyo's Nikkei 225 was up 2.3% to 57,804.81. Meanwhile, South Korea's Kospi went up 2.7% to 5,968.06. Hong Kong's Hang Seng rose 0.5% to 25,783.41 and the Shanghai Composite index rose 0.5% to 4,007.93.