The bike is a Francesco Moser 51.151 model which I find really beautiful.
I'd hate to tinker with the frame or to add ties to it. I'll try filling the slots with metal epoxy, as [MENTION=424205]Salamandrine[/MENTION] suggested, and then use steel cable housing.
Nevertheless, I wonder why would bike builders choose this method of routing, with the steel cables rubbing the bare painted metal.