The Comodo Dragon window should remember it's position on screen.
Could you add some screenshots with the window/windows as you have them positioned so we can attempt to reproduce the issue? Are you using window snap to position the Dragon window?
I just open it normally and it automatically opens on the left side of my dominate screen where I use other programs in the space. I then need to move it to the right side and re-size it to fill the dedicated space.
Are you working with two monitors?
Thank you for your support.