Cold start struggle to start.. how to fix?

[slix]

I know most mk5 gti do this as I've read in the past due to the hpfp losing pressure or something over night...
Once car has been started its fine for the rest of the day. Just a tad embarrassing that's all. 

but..

What is the actual fix to this?

Leaving the key in and ignition on for about 40 seconds helps a tiny bit but annoying when you're in a rush to go out.