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

U.S. President Joe Biden and other G-7 leaders are set to unveil future support for Ukraine on Wednesday after the conclusion of a high-stakes NATO summit in Lithuana's capital.

"President Biden and G-7 leaders will make a major announcement alongside President Zelenskyy this afternoon outlining our long-term commitments to support the people of Ukraine," U.S. National Security Council Senior Director for Europe Amanda Sloat said during a press briefing in Vilnius on Wednesday morning. "The United States, along with G-7 leaders, will announce our intent to help Ukraine build a military that can defend itself and deter a future attack."

"The launch of this process today will start a series of bilateral negotiations with Ukraine on the reaching of bilateral security commitments to help make this a reality," she added. "In particular, this process will ensure that the military assistance we provide Ukraine to defend itself against Russian aggression continues to be part of a long-term investment in Ukraine’s future force."

That investment will include making sure "Ukraine has a sustainable fighting force capable of defending Ukraine now and deterring Russian aggression in the future, a strong and stable economy, and the help Ukraine needs to advance the reform agenda to support the good governance necessary to advance Ukraine's Euro-Atlantic aspirations, which Ukraine recommits itself to as part of this declaration," according to Sloan.

"Taken together, we believe the declaration we will announce today seeks to ensure Ukraine's future as a free, independent, democratic, and sovereign nation," she told reporters. "This multilateral declaration will send a significant signal to Russia that time is not on its side."

-ABC News' Molly Nagle