How are you exiting Steam? It's supposed to keep running even with its windows closed.
From large mode, small mode, from tray icon.
If you choose Exit from the Steam frame menu (or tray menu) does that work?
Yes. I'm exiting, but tray icon safe in tray.
I'm not sure I understood that. When you say 'yes' you mean it's working properly when you exit from the Steam menu and there's no bug?
I don't understand. Look, I am close steam, icon tray safe in tray, when i clicking on this icon i have no effect, but steam process working. Maybe that's, MATE problem?
If you select 'Exit' from the Steam frame menu what happens? Is Steam still running? Is there still a tray icon?
Steam was close and not running. But icon enable in tray...
That sounds like a MATE problem, then, as once the Steam process is gone the icon should go away.
Nothing extracted yet.
After exiting steam, tray icon sometimes enable, sometimes disable. I must kill steam process.