Check out this thread: 2013 3.0 TDI - Probable EGR Valve coolant leak
Many have gotten it covered under the extended warranty. I'd take it to the dealer first (after reading that thread) and let them deal with it. It will not likely show any pressure loss with a coolant pressure test so they may be a little stumped. There may be evidence of coolant around the water pump but that is probably coolant dripping from the valley above. I was past warranty so I decided to do the work myself. It is not a very fun job. It took me 4 solid days. It is most likely the vacuum solenoid for the coolant line buried deep under there plus some gaskets under the oil cooler.
Many have gotten it covered under the extended warranty. I'd take it to the dealer first (after reading that thread) and let them deal with it. It will not likely show any pressure loss with a coolant pressure test so they may be a little stumped. There may be evidence of coolant around the water pump but that is probably coolant dripping from the valley above. I was past warranty so I decided to do the work myself. It is not a very fun job. It took me 4 solid days. It is most likely the vacuum solenoid for the coolant line buried deep under there plus some gaskets under the oil cooler.