Techniques are described for dynamic multi-user media streaming for client systems in a media session. In an embodiment, a local client system receives a media stream originated from another client computer system associated with another user and displays, at a first position of the user interface (UI) a participant UI control representing the user and, at a second position on the UI, another participant UI control representing the other user on the UI. The local system receives an interaction request to move the participant UI control and, in response to the interaction request and while continuing to receive the media stream and sending its media stream to the other client system, modifying the UI to display moving of the participant UI control to a new position, different from the original position.