U.S. Secretary of State Antony Blinken was meeting Tuesday morning with U.N. refugee agency chief Filippo Grandi amid the crisis in Ukraine and other upheavals that have displaced people around the globe.

"We've only seen that challenge increase and, of course, Ukraine is now added to the mix with Russian aggression displacing, within Ukraine or outside of Ukraine, two-thirds of the children in that country, as well as, of course, many, many adults," Blinken said while sitting across the table from Grandi.

There are some 95 million people displaced across the globe, with the number of refugees alone larger than the populations of Spain or South Korea, Blinken said.

Blinken added the United States is "grateful" for the work the U.N. High Commissioner for Refugees is doing to meet the needs of refugees. He said the United States is working with the agency to both resettle refugees in the United States and care for refugee populations overseas.

Grandi praised the United States for being the largest donor and the largest resettlement country for refugees.

But weeks after the Biden administration said it would admit up to 100,000 Ukrainian refugees, Grandi said the White House has released no details about how the United States will do that.

"This figure that he (Blinken) mentioned -- 95 million -- maybe 96 million by today, who knows?" Grandi said, adding that the number of refugees had gone up by 12 million in less than two months with the crisis in Ukraine.

Grandi noted other crises from Afghanistan to Africa and Venezuela that have displaced people and said of Russia's war in Ukraine, "That crisis should not make us forget everything else."

-ABC News Conor Finnegan

Russian President Vladimir Putin said Tuesday that his country's "special military operation" in Ukraine would undoubtedly achieve its "noble" objectives."

"On the one hand, we are helping and saving people, and on the other, we are simply taking measures to ensure the security of Russia itself," Putin said, according to Russian news agencies. "It's clear that we didn't have a choice. It was the right decision."

Putin made the comments while visiting the Vostochny Cosmodrome, a Russian spaceport in the Amur Oblast in the Russian Far East, to mark Russia's annual Cosmonautics Day.

He was joined by Belarusian President Alexander Lukashenko. The two leaders held talks on bilateral relations and the situation in Ukraine, without the participation of Russian or Ukrainian delegations.

Nine humanitarian corridors are expected to open in eastern Ukraine again on Tuesday to allow civilians escape heavy fighting, according to Ukrainian Deputy Prime Minister Iryna Vereshchuk.

She said in a statement via social media Tuesday that evacuation routes were agreed upon for those traveling by private cars from besieged Mariupol in the Donetsk Oblast, as well as from Berdyansk, Tokmak and Enerhodar in the Zaporizhzhia Oblast -- all of which lead to the southeastern city of Zaporizhzhia.

In the Luhansk Oblast, Vereshchuk said routes were established from the cities of Severodonetsk, Lysychansk, Popasna, Hirske and Rubizhne, leading to the city of Bakhmut in the Donetsk Oblast.

The same routes were opened Monday, allowing a total of 4,354 people to evacuate via buses and private cars, according to Vereshchuk. However, Vereshchuk said buses carrying people from Berdyansk, Tokmak and Enerhodar to Zaporizhzhia city were being held up by Russian forces at a checkpoint in Vasylivka for a third day in a row.

Ukraine announced Tuesday it is investigating claims that chemical weapons were used in an attack against Ukrainian soldiers in besieged Mariupol.

The Azov Regiment, a far-right group now part of the Ukrainian National Guard, alleged in a statement via Telegram on Monday that a Russian drone had dropped "a poisonous substance of unknown origin" on its fighters defending a giant metals plant in Mariupol, a southeastern port city in Ukraine's Donetsk Oblast that has been subjected to heavy bombardment since the Russian invasion began on Feb. 24. The Azov, which did not provide evidence of the alleged attack, said its fighters had suffered minor injuries.

The claims could not be independently verified by ABC News.

Eduard Basurin, a spokesperson for Russia-backed separatist forces in Donetsk Oblast, denied the allegations, telling Russian news agency Interfax that separatist forces "haven't used any chemical weapons in Mariupol." However, on the eve of the alleged attack, Basurin appeared to urge their use, telling Russian state media that Russia-backed forces should seize the Mariupol plant from Ukrainian soldiers by blocking the exits and using "chemical troops to smoke them out."

Ukrainian Deputy Defense Minister Hanna Maliar said Tuesday the government is investigating the claims, adding that preliminary information suggested phosphorous munition had been used.

When deployed as a weapon, phosphorus can inflict excruciating burns and lead to infection, shock and organ failure. Although phosphorus is not classified as a chemical weapon under the Chemical Weapons Convention, its use as an incendiary weapon in civilian areas is forbidden under the Geneva Conventions.

The United Kingdom is "working urgently" to investigate the reports, according to U.K. Foreign Secretary Liz Truss, who noted that any confirmed use of chemical weapons in Mariupol would be a "callous escalation" of the war.

U.K. Armed Forces Minister James Heappey told Sky News on Tuesday that "all options are on the table in terms of how the West might respond."

Meanwhile, the United States said it was "aware" of the reports.

"We cannot confirm at this time and will continue to monitor the situation closely," Pentagon press secretary John Kirby said in a statement Monday. "These reports, if true, are deeply concerning and reflective of concerns that we have had about Russia's potential to use a variety of riot control agents, including tear gas mixed with chemical agents, in Ukraine."

-ABC News' Guy Davies and Luis Martinez

Ukrainian President Volodymyr Zelenskyy asked President Joe Biden to designate Russia a "state sponsor of terrorism" during their call earlier this week, a U.S. official confirmed.

The White House and State Department have not responded to questions about Zelenskyy's appeal or the designation, but last month, Secretary of State Antony Blinken expressed an openness to it.

"In terms of other designations based on actions that Russia's taking, we are and we will look at everything," he told reporters during a press conference.

The designation, which is normally reserved for states that are arming and funding terror groups, carries some of the most severe sanctions under U.S. law -- although Russia is already under many of them.

Currently there are four countries on the list: Syria, Iran, North Korea and Cuba. The latter two were added by the Trump administration.

-ABC News' Conor Finnegan