BBC Security Correspondent Frank Gardner had a pretty good take on what may have happened in the call:
One moment Russia looked to be almost on the brink of civil war with Moscow’s most effective ground force, the Wagner group, rebelling in open defiance of the Kremlin. The next, it all appeared to be over with the renegade mercenary boss Yevgeny Prigozhin backing down and withdrawing his forces after a phone call from the Belarus leader. What exactly was said in that phone call? We are not told, but it’s fair to assume that Prigozhin was given some home truths somewhere along the lines of: "Look, you’re on your own here, no one has come out in support for you, and if you continue on this course a lot of blood is going to be spilled, and that’s Russian blood."