Do you have any warning lights illuminated? If yes, have the computer scanned for trouble codes.
If no warning lights, it is very possible you have a fuel issue because fuel pump problems rarely (usually never) set the check engine light. It is still a good idea to have it diagnosed.
Here's an article that may help isolate the conditions under which your stalling occurs. If the diagnosing technician can duplicate the problem, there is a greater chance of solving the problem. hope this helps!