Hi,

I have an issue with my A3 8P 1.6 TDI sportback where the car will randomly sometimes cut out or stall whilst driving. Usually the glowplug light will flash or i lose all power. It can happen 3 times in the space of a month, and sometimes won't happen for almost a year. 

Sometimes the car can restart itself again without a problem, sometimes will not be able to restart itself. 

Below are the codes i have received:

01 Engine Electronics 2 problems exist
1.P060100 Internal Control Module Memory
Checksum Error
Passive/Sporadic
2.P019300 Fuel Rail Pressure Sensor "A" Circuit - High
Input
Passive/Sporadic
03 Brake Electronics 1 problems exist
1.01314 Engine Control Module (ECM)
Check DTC Memory
09 Electronic Central Electric 4 problems exist
1.00332 Activation For Tank Flap
Short To Ground
2.01504 License Plate Lamp
Defective
3.00446 Function Limitation Due To Insufficient
Voltage
Lower Limit Exceeded
4.01504 License Plate Lamp
Open Or Short To Plus
19 Data Bus OBD Interface 2 problems exist
1.00470 Combination Comfort Databus In Single Wire
Open Circuit
2.01304 Radio
No Signal/Communication

I also have the P0087 code too. 

I have replaced the Fuel Pump (located under the rear passener seat), the fuel pressure sensor, and also fuel filters have been changed. 

Can anyone help?

Sounds a lot like my old issue with 2.0 FSI petrol, but yours is diesel and what solved my issue you've already tried to do.

For me it was high and low fuel pressure sensors, in diesel probably there is only one ? or out of 2 you've replaced only 1 ? but yeah I've got nothing more to add to that.