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You have to determine if you are loosing spark, fuel pressure (to be checked with a pressure gauge) and or injector pulse (check with a noid light).
You are missing one or more of these when the car stalls once you find out witch ones are missing we can steer you in the right direction.
Yes when the car is exhibiting the problem.Does the car start after cooling down?
Also what engine do you have?
I can tell you what I think could be the problem (most common fix for symptoms you described so far) But that is only a guess unless you can tell me if you have spark ,fuel pressure and injector pulse.Then I wouldn't be guessing I would have enough facts to make an educated diagnosis.