IS220D - Cutting out and struggling to start. Any ideas?

[DenverMH]

Hi everyone, 

I’m new to the forum so apologies if this has been asked before, feel free to link me to the post if it has. I have a 2009 IS220D that I have been having a bit of an issue with. If anyone could help, it would be greatly appreciated. 
 

The issue seems to be only the first time in a day that I start the car, basically it’s idling for about 30 seconds to a minute and then just cuts out. Then when I push the start button to start it again it takes about 30 seconds of it trying to start to actually start again.  This only seems to happen once and then anytime throughout the day when I start the car it’s completely fine. 
 

Would anyone have any idea what the issue could be?

Feel free to ask any questions. 

Thanks

[GS300h2014]

Defective glowplug(s)?

[Chizabc]

I'd be surprised if it was glowplugs if it starts and idles for 30 seconds before cutting out.
Does it idle roughly before it cuts out?
Have you had any codes, when was fuel filter last changed?