You can move 'Sessions' individually from the Player to another Project.
- Just click into the recording.
- Click the dropdown menu beside the name of the 'Project' (below the timeline).
- Select the other 'Project' that you'd like to move to.
- And click 'Move 1 Recording'.
Now you'll find this recording in a 'Round' called 'Other Sessions' within the other 'Project' you selected