I have seen many people report ESP from DMT, infact every breakthrough is by definition an ESP. De Ja Vu is also incredibly common among users including myself.
If DMT has taught me anything it is definately that there is a layer of reality which we are embedded or at least deeply involved in yet such a one that we are unable to witness in our
usual, common, sane state of mind.
I personally think this is a consequence of existing within or being made from the universal constituants such as time or space and those aspects of the universe obviously extend beyond our limited understanding of them even though we feel time and space and matter all the time without questioning whether it is part of something else that is conjoined and integral in forming part of a bigger part of the ultimate reality. So we collide or impinge on this ultimate reality like sheep crossing the road of a highway... hence your entities screaming to you from their cars "I didn't know he could hear us"