Is it possible to aplly a behaviour that when user close the responsive notifier it does not open any more... something like the warning about the use of cookies that most pages now present when we go the websites like this example: www.sograpevinhos.com/

Hello Manuel,
The extension does not have such an option integrated. It is being triggered by the DW behaviors. So if you can setup your behavior to appear only once on the page, then the extension will also appear only once.