Oh dear! Good luck with yours!! This is why we ended up getting rid of the 2010 Golf wagon. Stuck glow plug, dealership (good one) tried everything as above over a week--heating, cooling off, penetrating oils, gentle pressure both ways etc. Finally had to remove cylinder and have plug drilled and chased out by a machine shop. Carefully reinstalled new glow plug, reassembled engine. Two weeks later glow plug blew out while climbing a steep grade at speed on a 6 lane highways with transports right behind. Had to swerve across three lanes to get off highway. Threads had failed, engine was again disassembled a bit and new OEM parts used. Fortunately, all under warranty (just) including rental car. We were on vacation far from home, (and fortunately very very close to another excellent dealership) and needed to get around for a few days--it was a three hour bus ride out of province to pick up the car a week later. From analysis, it appears that it was a Mexico Mistake, and that there was something wrong with the initial installation of the first glow plug--it likely wouldn't have come out when brand new without drilling it out, because it was over-torqued or mis-threaded. Sort of lost hope for that vehicle after that--what else was lurking? Note that I still have my 03 ALH Jetta wagon (built in Germany) with about 300,000 on it. You'll have to break rigor mortis to get the steering wheel out of my cold, dead hands on that one.