BMW/MINI remove and send the transmissions to a rebuilder to go through, you can purchase the transmissions from the same supplier (PUNCHPOWERTRAIN.COM) through a local supplier. I have spoken with PUNCH and they won't give out any manuals or technical information. My 2005 CVT has a bad carrier bearing and I want to do the repair myself but want a manual for the breakdown. Bentley will help you get the trans out but, thats as far as it goes. I have replaced the main bearing and done 2 services on my trans. There are parts available but no literature for do it yourselfers. I have been rebuilding transmissions for over 30 years don't see a problem with this CVT. I want to make sure when I split the case, nothing comes falling out.
This site has the friction sets, pulleys, steel belt, bearings.....
Below is the link for the rebuild kit, no hard parts
http://europeantransmissionscom.x-shops.com/shop/home.php?cat=988
Below is the link to the rebuilt valve body, 645 US Dollars, a new one is 1250 US Dollars
http://europeantransmissionscom.x-shops.com/shop/home.php?cat=968