As your vehicle is set up now, your DRL are on all the time and there is no off setting for the lights.
As far as I am aware there are only two ways to turn off the DRL. First you can VAG COM the DRL to put them into the MFI. There, you can turn them off or on. (I am going to try to post a link, if it doesn't work, go to search, type in "Trick and tips". You will see a posting by Spockcat with some VAG COM tricks including the DRL issue.)
http://forums.clubtouareg.com/ftopic950.html
Second, you can do what I may do and that is to purchase a Euro light switch from Treg Central. Cost about $70 + shipping. There is a setting for parking lights. With this setting, it will turn off the DRL's, but the parking lights will remain on. Also, there is no off setting with this switch as well. Now, a couple of things to consider. First there are some additional directions on how to install this found in the forum. (Can't remember where, but posted by Spockcat) Because it is a Euro switch it includes a setting for rear fog lights which the US tregs do not have. You will need to bend one of the pins (I think #7) so it does not trip a warning message on the MFI. If a message does occur, you will have to find someone who can VAG COM you. If you do a search, you will find addional info on this topic with more precise instructions.
Hope this helps.
Joe