CEF3 doesn't support "silent" printing, that is, printing without a printer selection dialog.
All you can do is :
- Print to a temporal PDF file and then print the PDF file.
- Take a snapshot from the browser and print the bitmap.
- Modify the CEF3 libraries to hide the printer selection dialog.
These functions are much easier to use with CEF4Delphi or OldCEF4Delphi. To print in a PDF file all you have to do is call TChromium.PrintToPDF and to take a snapshot you need to call TChromium.TakeSnapshot
Not all the Chromium flags or command line switches are supported by CEF3. --kiosk and --kiosk-printing are not supported as you can see here.
You may even have to modify the JavaScript code in that web page to replace the "print" button function with a custom JavaScript extension registered with CEF3. That extension would send a message to the main browser process to print using your custom function.