This game needs a little work to run almost perfectly on Linux.
First at all, activate the Wine virtual desktop mode and set it at your Desktop native resolution.
Then install the game.

Bugs and workarounds:

1°) the Syberia setup program never finished installation

Use the task manager to close properly the setup program, launch:

wine taskmgr

and choose the setup program in the task manager list to recover focus on the window child

2°) When you launch the game you have only a black screen, you can hear game sounds
I have not yet found a tips to avoid the black screen to appear. All you can do is give focus to the correct game screen located behind the black screen.

--> solution a: Wine virtual desktop option is on, open a terminal, go to the main Syberia folder, execute Sberia with this command line:
wine Syberia.exe & sleep 15; wine taskmgr
when the task manager appear, choose Syberia in the list or in the Wine task bar to give focus to the correct game screen

--> solution b: WIne virtual desktop option is on, download the utility nircmd.exe, copy it in the Syberia installation folder
and launch Syberia like this:
wine Syberia.exe & sleep 15;wine nircmd.exe win hide title Syberia; sleep 0.1; wine nircmd.exe win hideshow title Syberia

3°) the game crash after the cinematics, before the main menu appear

It is a bug that affect Nvidia users.

in a terminal execute this command:

wine reg.exe ADD "HKEY_CURRENT_USER\Software\Wine\X11 Driver" "/v" "UseXVidMode" "/t" "REG_SZ" "/d" "N"

No more crash for Nvidia users ( Thanks to "Bob Wya" from the WineHQ forum)

4°) in virtual desktop mode, the game size is 800x600

Download an use DxWnd to launch the game in fullscreen at your desktop resolution. Use "respect ratio" option to keep a 4/3 ratio.

Wine staging 7.11

Workaround:
* Before starting the game, open Winecfg and place the Winecfg window on the right side of the screen
* In Winecfg > Graphics > Window Settings, uncheck "Allow the window manager to control the windows" and click "Apply" (do not close the Winecfg window)
* Start the game, then return to desktop using Alt+Tab (do not close the game)
* In Winecfg, check "Allow the window manager to control windows" again and click "OK"
* The game should automatically return to full screen and should no longer be black.

from here: bugs.winehq.org/show_bug.cgi?id=21796#c65

Has anyone tried this recently? When I attempt to use DxWnd I get "The 3D rendering engine could not be initialised"

Wine 7.0.1, DxWnd 2.05.89

I also tried dxgl - however scaling/changing the window size did not seem to work (have posted an issue on github, for what its worth)