The Wagner Group's chief Yevgeny Prigozhin said he has ordered his mercenaries to halt their march on Moscow and return to their field camps, saying he wants to avoid shedding Russian blood.

Prigozhin made the announcement in an audio message posted on his Telegram channel.

Russian state media has shown Wagner fighters packing up and reportedly leaving Rostov.

Russian President Vladimir Putin has called Belarusian President Alexander Lukashenko and thanked him for his efforts de-escalating the situation.

-ABC News' Patrick Reevell and Tomek Rolski

Gen. Mark Milley, the chairman of the Joint Chiefs of Staff, has canceled his planned trip to Israel and Jordan due to the situation in Russia. The trip was to have begun Saturday.

Milley also spoke with his Ukrainian counterpart, Commander-in-Chief of the Ukrainian Armed Forces Gen. Valerii Zaluzhnyi.

"They discussed the unprovoked and ongoing Russian invasion of Ukraine and exchanged perspectives and assessments. The Chairman reaffirmed unwavering support for Ukraine’s sovereignty and territorial integrity," according to Joint Staff spokesperson Col. Dave Butler.

The Pentagon said Department of Defense Secretary Lloyd Austin is monitoring the ongoing situation in Russia and will continue to be briefed on any significant developments.

-ABC News' Luis Martinez

Andrey Vorobyov, the governor of the Moscow region, has suspended mass events outdoors and at educational institutions until July 1.

Moscow Mayor Sergey Sobyanin urged residents to refrain from traveling around the city. Monday was also declared a non-working day for the city. Sobyanin said that a counter-terrorism regime was declared in Moscow and that the situation was difficult.

-ABC News' Tomek Rolski

President Joe Biden spoke with French President Emmanuel Macron, German Chancellor Olaf Scholz and U.K. Prime Minister Rishi Sunak about the developments in Russia.

Biden and Vice President Kamala Harris were also briefed by their national security team on the developments in Russia and will continue to receive updates throughout the day, the White House said Saturday.

-ABC News' Justin Gomez

Ukrainian Armed Forces have yet to reach their "full potential," but two top generals exclusively told ABC News the counteroffensive is "going to plan" despite concerns from Western analysts that Ukraine is not making enough progress.

Gen. Oleksandr Tarnavskyi, who is leading the counteroffensive in the south, told ABC News' chief global affairs correspondent Martha Raddatz that the situation is "stable."

"The main thing is that we haven’t reached our full potential," Tarnavskiy said.

Ukrainian troops launched the counteroffensive a month ago, attacking on multiple axes on the southern frontline in Zaporizhzia using Western-supplied vehicles. Ukraine succeeded in piercing Russian lines at two points, liberating a string of villages, but has since been locked in ferocious fighting

Gen. Oleksandr Syrskyi, commander of the Ukrainian ground forces, told Raddatz that last month's failed rebellion by the Putin-backed PMC, the Wagner Group, wouldn't impact the fighting on the ground.

"It would be better for us if there were some negative consequences in Russia itself, but it doesn't matter for me," he said.

Asked if he was confident of retaking the key city of Bakhmut, Syrskyi said, "Yes, of course. I’m sure."

Both sides have suffered heavy casualties, according to Western officials, particularly in the south where Russia has so far conducted "relatively effective defensive operations" in the southeastern Zaporizhzhia province, the U.K. Ministry of Defense reported.

"The enemy is suffering eight times or even 10 times higher losses, especially with the number of killed troops," Syrksyi said.

-ABC News' Guy Davies and Meghan Mistry