I have a 94 buick century station wagon and it tends to die out when I come to a stop. Sometimes it idles rough like it is going to die out when I start the car. I put in a new starter and battery in 2008.
The next time you feel the engine is going to stall, with your left foot firmly on the brake pedal, slightly step on the accelerator. If doing this prevents the engine from stalling there’s a problem with the Idle Air Control circuit. This could be from a dirty Idle Air Control valve/throttle body or the Idle Air Control valve is defective.