Does the Check Engine light turn on? If so, there will be a diagnostic fault code stored in the Engine Computer. Most auto parts stores will read those codes for you for free, or there is a procedure you can do yourself by cycling the ignition switch three times. Only Chrysler makes it that easy to retrieve that information.
Depending on the engine size, a common cause of stalling when warm on the 3.3L is the crankshaft position sensor.