Random stalling of engine,when left for a period of time it then restarts and runs perfectly until next stall.

SOURCE: engine intermitantly stalls

if this a fuel injected car just check to fuel pressure first.

SOURCE: engine stalls when restarted idles up and down and stalls

I went through this scenario while working in a toyota sienna a few months ago and it ended up being the battery. When battery supply voltage starts to drop the PCM will limit voltage to certain areas.

SOURCE: 2002 Toyota Tundra Stalls

The throttle body needs cleaning. It has some carbon build up, and when the battery went dead the computer lost its learned values, one of which is base throttle position. Now its reset back to factory specs, not accounting for a dirty throttle body. Seen it a million times

SOURCE: volvo automatic 850 fuel injection. car stalls unpredictably

check your plugs plug wires ignition coils and ignition amplifiers and cam sensor.change fuel filter if it has not been changed in a while.if its partially clogged will cause stalling problems.

SOURCE: 94 eldorado stalls

First impression is a MAP sensor. If you take the car to a service station or an auto parts store that features free diagnostic tests, I'm sure the MAP sensor fault will appear. Other cause could be the TPS which controls the idle at cold,warm, and AC operation settings. It's possible that you're stalling due to insufficient idle speed setting on the TPS.