Injectors are screwed. Get new ones. Use Bosch as they are the VAG part but in a different box and cheaper. Even it doesn't cure the problem, injectors only last till 80,000 and then the spray pattern starts going wrong. At low revs the spray pattern can be more of a dribble hence your rough idle and stalling.
Also check the lifter pump as well.
Both are possibilities. My 16v had a the same problem after a full rebuild and change of everything. The only thing we missed were the injectors. Replaced them and the engine was a completely different animal.