Hmm... I'm no expert on digi injectors, but I suppose generally that injectors mostly have some kind of o-ring or seal on them (Kjet ones do anyhow) which could be leaking, and also a fuel line or separate pipe that feeds the fuel. It could be the union at this point.
If it's only when cold, i assume you're talking about at idle - I'd guess the fuel delivery would be higher when the engine is cold to counteract fuel condensation and so the leak is showing up because of more fuel being released - could be that or just that fact that the leak seals itself up when the surrounding area gets warmer. The injector itself might be cracked too..
sorry that was a bit rubbish