Looking at that link I can see no menu item for simpl_pages, only two copies of simpl_menu (simpl_menu2 and simpl_menu3). Does he have simpl_pages hidden for members only? Please confirm, and if he does I will need temporary access to view the problem.
With his simpl_menu2 he needs to add a kiwitrees theme file with a style.css included. It looks like he might have one for simpl_menu3, so he can copy the same one to the other version. That will remove the icon from his menu item “Internet links”.