On mine, it turned it was a vacuum leak due to a cracked/aged TBI base gasket. I checked all the hoses and they were fine, but never thought about the actual gasket that sealed the TBI unit to the intake - that was the part the mechanic I took it to discovered.
The fuel pump was also puking its guts out, but that was coincidental and not related to the stalling issue (as near as I can figure).