Perhaps you have a faulty oil pressure sensor, a faulty oil pressure light, a faulty PCM or a problem with the wiring to and from them.
What you should do is rent, borrow or purchase a oil pressure gauge and check if the oil pressure is actually dropping when the engine is warm and coming to a stop like you said do determine first of all if it is any of those items I mentioned or if it is in fact something wrong with the oil pump and oiling system.
Plus, in order to further diagnose you should tell us if it is the 2.4, 2.8 or 3.7 engine.
Since it appears the oil pressure sensor plugs directly into the PCM you might also want to retrieve any trouble codes from that PCM.
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Saturday, January 13th, 2018 AT 6:01 AM