Trump says US Navy attacked and seized Iranian-flagged cargo ship

After being unable to secure a deal with Iran, Vice President JD Vance said Tuesday that there is a lot of mistrust between the U.S. and Tehran that cannot be solved "overnight," but that he does feel good about where things currently stand.

"We had never had a meeting like that, where you have, you know, the person who's effectively running the country in Iran sitting across from the vice president of the United States, that had never happened," Vance said during a Turning Point USA college event in Athens, Georgia.

"After 49 years, there's a lot of, of course, mistrust between Iran and the United States of America. You're not going to solve that problem overnight. But yeah, I think the people we're sitting across from wanted to make a deal, and I know the president of the United States told us to go out there and negotiate in good faith. That's what we did. That's what we're going to keep on doing," Vance continued.

Vance says he feels "very good about where we are."

-ABC News' Hannah Demissie

At least 35 people were killed and another 159 wounded in Lebanon on Tuesday, according to the Lebanese Ministry of Public Health.

The death toll in Lebanon now stands at 2,124, and 6,921 people have been injured since March 2, according to the ministry.

The Treasury Department confirmed Tuesday that it would not renew the short-term authorization license waiving U.S. sanctions on Iranian oil already at sea. The sanctions will go back into effect on Sunday at 12:01 a.m. ET.

In a post on social media, the Treasury Department said that it was "moving aggressively with Economic Fury" to apply pressure to Iran and put financial institutions "on notice" that the department is prepared to implement secondary sanctions against foreign financial institutions doing business with Iran.

The sanctions were temporarily lifted as part of the administration's larger effort to increase supply and help drive global oil prices down. The U.S. also provided a waiver for Russian oil at sea to be temporarily unsanctioned amid the war. That license expired on April 11.

-ABC News' Michelle Stoddart and Nicholas Kerr

As of Tuesday, 399 service members have been wounded in the war with Iran, according to a U.S. official.

The number has risen slightly since the ceasefire. That can be attributed to delayed reporting of traumatic brain injuries, as symptoms for those wounds can sometimes take a few days to manifest, according to the official.

Three service members are considered "seriously wounded," though it's unclear if those troops are the same who have been included in previous counts.

In total, 354 service members have been returned to duty.

-ABC News' Steven Beynon