Step 2: Look beyond the incident.

Often, it is not the situation but the point of view of the situation that causes anger to fester and ultimately leads to a shouting match or other visible and disruptive result. The source of the conflict might be a minor issue that occurred months before, but the level of stress has grown to the point where the two parties have begun attacking each other personally instead of addressing the real problem. In the calm of your office, you can get them to look beyond the triggering incident to see the real cause.