I have an Audi 2010 Q5. Both Headlights die ~60secs after start.

If you stop the car, remove the key and start again, both headlights come on again for ~60 seconds. rinse and repeat.
The high beams dont work when the headlights are off.
This happens when the dash lights switch is in both the "auto lights" and the "on" modes.
The parking lights do seem to work fine while this is going on.
There are "low beam dipped" type messages on the display which clear when the lights are working.

Sounds like it could be the switch but why would it come on again after about a minute?
Any help would be appreciated.