Russia-Ukraine updates: Russian missile strikes hit multiple Ukrainian cities

Yevgeny Prigozhin will go to Belarus to ease tensions and the fighters of PMC Wagner Group who took part in the so-called "campaign" against Moscow will not be prosecuted, the Kremlin said Saturday evening.

The rest will be able to sign a contract with the Ministry of Defense, the President of the Russian Federation Dmitry Peskov told reporters.

"In the end, we managed to resolve this situation without further losses, without raising the level of tension," Peskov said.

"An agreement was reached that PMC Wagner would return to their camps," he added.

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