Shelling is continuing in Chernihiv and the suburbs of Kyiv, one day after the Kremlin said Russian operations near the two cities would be "scaled down dramatically."

In Chernihiv, in northern Ukraine, Gov. Viacheslav Chaus said shelling lasted all night and that civilian targets were being destroyed, including shopping malls and libraries. Local authorities said at least one civilian was killed and six were wounded.

Activity was relentless Wednesday in Irpin, near Kyiv, and bombardments in the suburbs have continued into the night.

Oleksandr Motuzyanyk, a spokesperson for Ukraine's Ministry of Defense, said Wednesday that Russian troops have not completely abandoned attempts to capture or at least surround Kyiv and Chernihiv. The General Staff of the Armed Forces of Ukraine said some Russian military units are being relocated but that there's no mass withdrawal of troops.

-ABC News' James Longman, Bruno Roeber, Irene Hanatiyuk and Oleksii Pshemyski

President Joe Biden and Ukrainian President Volodymyr Zelenskyy spoke on the phone from 11:08 a.m. ET to 12:03 p.m. ET, according to the White House.

Biden said the U.S. will provide Ukraine with "$500 million in direct budgetary aid," according to a White House readout. The $500 million is for financial assistance that Ukraine can use for budgetary expenses such as paying salaries and maintaining government services, according to the White House.

"The leaders discussed how the United States is working around the clock to fulfill the main security assistance requests by Ukraine, the critical effects those weapons have had on the conflict, and continued efforts by the United States with allies and partners to identify additional capabilities to help the Ukrainian military defend its country," the White House said.

Zelenskyy in a tweet said they "talked about specific defensive support, a new package of enhanced sanctions, macro-financial and humanitarian aid."

-ABC News' Justin Ryan Gomez

Ukraine warned Norway on Wednesday that Russian forces have "amassed in the Arctic region" and will ultimately pose a threat to Europe.

"I think you are experiencing new risks near your border with Russia," Ukrainian President Volodymyr Zelenskyy said in an address to Norwegian lawmakers via video link from Kyiv. "A number of Russian troops that has no normal explanation has already been amassed in the Arctic region. For what? Against whom?"

"The future of Europe -- the whole continent from north to south, from west to east -- is being decided right now," he added. "On our land, on Ukrainian soil, in Ukrainian air, in Ukrainian sea. So that your soldiers do not have to defend NATO's eastern flank, so that Russian mines do not drift to your ports and fjords, so that your people do not have to get used to the sound of air alarms and so that Russian tanks are not amassed at your border, we must stop the aggression of the Russian Federation together and only together."

Zelenskyy said Russian forces are continuing to carry out relentless and indiscriminate attacks on his country. Although Ukrainian troops are holding off Russian advances, he warned that "the columns of Russian armoured vehicles are not decreasing."

"There are no forbidden targets for Russian troops. They attack everything," he told Norwegian lawmakers. "Ukraine's losses are enormous."

-ABC News' Fidel Pavlenko and Christine Theodorou

During a meeting in China on Wednesday, Russian Foreign Minister Sergei Lavrov and Chinese Foreign Minister Wang Yi doubled down on increasingly close ties between the two nations despite the invasion of Ukraine.

Wang acknowledged the "Ukraine problem" but stopped short of offering support.

Chinese officials have said repeatedly in the past weeks that they are "not a party" to the conflict but "support Russia and Ukraine in overcoming difficulties."

-ABC News' Karson Yiu

All Russian troops have left the Ukrainian cities of Kyiv and Chernihiv, withdrawing north toward the borders of Belarus and Russia to consolidate before likely redeploying to the Donbas region in eastern Ukraine, a senior U.S. defense official told reporters Wednesday.

But even with the Russians gone, the territory remains treacherous.

"There are some indications that they left behind mines and things like that, so the Ukrainians are being somewhat careful in some areas north of Kyiv as they begin to clear the ground and clear the territory and re-occupy it," the official said.

While the U.S. hasn't yet seen these troops redeploy elsewhere in Ukraine, it'll likely happen soon, according to the official. Ukrainian forces are preparing for a major fight in Donbas, the official said.

The official also said the Pentagon is "monitoring" an apparent nitric acid explosion in Ukraine's Luhansk region, which Russia blamed on Ukraine.

"We've seen the Russians claim that this was a Ukrainian attack on this. We do not believe that is true," the official said. "We do believe that the Russians are responsible, but exactly what they used when they did it, why they did it, what the damage is, we just don't have that level of detail," the official said.

The official also noted that a small number of Ukrainians currently in the U.S. for "professional military education" were pulled aside for a couple days of training on Switchblade drones, which the U.S. is sending overseas as part of its military aid, according to the official.

"Although it's not a very difficult system to operate, we took advantage of having them in the country to give them some rudimentary training on that," the official said.

-ABC News' Matt Seyler