Coincidentally enough, I talked to my friend about this subject using a similar example just mere hours ago.
When my mother worked at a VA hospital in New York, she had a patient die. The patient was pronounced dead, the family had come to see him, all that stuff. The whole ordeal took a few hours (I believe it was 2-4 hours, but probably less), so this guy was dead for a few hours (no heartbeat, no brainwaves, no nothing that constitutes a living person).
Well, as my mom was bringing him down to the morgue in the elevator, the guy sits up and asks what in the world is going on. Now, you could imagine the mess that caused.
But, that begs me to ask: What is life? What is death? Simply put, life (in finite, physical, human terms) can be defined as your existence in the physical realm. Death, then, is a state in which you no longer exist in the physical realm.
I do believe that when the body dies (as in “dead as a doornail” dead), the soul leaves the body. Like in the story I just told you, a person was clearly dead (and therefore no longer existing in the physical realm), but for some reason, came back to life (and began existing in the physical realm again). Since this person (who was once dead) is alive again, he exists again. If he exists, he must have a soul at his essence. So, yeah, he has a soul.