Stumped by Saturn Aura Green Line starting issue

[CRAM1986]

Hi there. First time poster here. My dad gave us his 2008 Saturn Aura Green Line a few years ago when he moved to the UK. It's been fine - a few issues here and there - but generally worked fine.

That was up until about two months ago when the car started having problems starting. It's fine the first time we start the car any day - no problems whatever.

But when we start the car again later in the day - at the grocery store, in the parking lot, coming back from a restaurant, etc, it cranks, but won't start unless we pump the gas pedal. When the engine starts, the car runs totally fine.

It's been in and out of the shop trying to get it fixed. The fuel injection was replaced and that seemed to fix it for a week, but the issue came back. Then some of the sensors were replaced after they checked the computer outputs - again, fine for a week afterwards, but then the issue returned.

As it stands, the shop is pretty stumped and I'm out of ideas too. The shop has said it might be the PCM which may need replacing and reprogramming, but that'll be expensive. Just wondered if anyone else has encountered any issues like this, and if so, what advice they may have?

Thanks!

[CRAM1986]

Urgh - apologies. Just realized this is in the wrong section - should be in Aura, not Vue. Still, if anyone has any advice on the above issue, I'll certainly welcome it!

Thanks