Skoda Octavia Diesel Fuel Pump Problem

Sounds like a potential fuel delivery issue alright. Given the engine stalling and rough running, the fuel pump is a prime suspect. The check engine light and stored error definitely point to something amiss in the fuel system. Have you checked the fuel filter? A clogged filter can starve the pump and cause similar symptoms. Also, can you hear the fuel pump prime when you first turn the key to the 'on' position (before starting)? It should be a brief buzzing sound from the rear of the car.

I haven't checked the fuel filter yet, but good call, I'll add it to the list. As for the pump priming, I'm not 100% sure if I can hear it. It's not very loud, even when it works. But you mentioned connectors... where exactly should I be looking for potential issues?

Yeah, fuel pumps can be a pain. Given it's intermittent and you've got a stored error, I'd put my money on the connector first, like you said. Check the connector block that plugs directly into the fuel pump itself. It's usually accessible underneath the rear seat, or sometimes from underneath the car near the fuel tank. Look for corrosion, loose pins, or damaged wiring. A visual inspection and a wiggle test might reveal the culprit. If that doesn't work I would advise you to take it to a workshop.

Right you are. Turns out it was a dodgy connector on the fuel pump, just like you suspected. 95€ later and it's purring again. Thanks for the help!