Ive got the same or at least a similar problem with my 318i, which has 114k.
If I start it cold, it runs perfect. If I get it up to temperature, shut it off and then restart before it cools down fully, it stalls.
it will do this time after time, unless I rev it up unloaded to 3000 RPM or so. I cant get the engine to load without stalling, because it goes off so fast after startup... I need to do that revving right away.
new fuel pump, ICV, injectors, O2 sensor, battery, plugs, wires, oil, etc., etc. thi car is meticulously maintained to ensure that anything that could go wrong is replaced before its time. This is just a nuissance thing, but perhaps the AFM amp or a few other things may help...
Thanks,
JMH