Need to open custom page that is not related to wp-page

Hi.

I’m developing an application which has a front-end administration “panel”.

I’ve create the page “myAdminPage” in WP which uses the “myAdmin.php” template. So opening https://www.mysite.com/myAdminPage/, displays some menus and some info.

The menu is just a UL list in myAdmin.php, and one of the menu items is called “myProfile”. Clicking this menu item should open myProfile.php. So the url would be https://www.mysite.com/myAdminPage/myProfile.php.

This is pretty similar to what we already have backend in WP.
My problem is that I get a 404 Page not Found – because of User friendlt URL / Permalinks.

What do I have to do in order to open https://www.mysite.com/myAdminPage/myProfile.php?