Font of all knowledge

Hi
Thoughts please I have x country 09 5000 miles
Runs well but has started to play up
After a run say 10 to 20 miles if you switch of and try to restart it is reluctant to start and sometimes back fires
If left for 20 minutes it fires up fine
Bike is stock apart from scorpion exhaust and has new plugs air filter and oil change
Any thoughts or can it be plugged to diagnostic to see what is up
Any thoughts appreciated
Gordon

Idle Control Valve

https://advrider.com/f/threads/bmw-g650x-issue-log-xcountry-xchallenge-xmoto.487473/page-15

Valve clearances are worth a check,
tight clearances will affect hot starting,
enough compression when running,