We frequently encounter the phenomenon of "someone possessing the others" in the scriptures. One example can be found here. I provided below another example of kali possessing Nala.
Kali, that vilest of the celestials, filled with wrath
And when the gods had gone away, Kali said unto Dwapara, 'I am ill able, O Dwapara, to suppress my anger. I shall possess Nala, deprive him of his kingdom, and he shall no more sport with Bhima's daughter. Entering the dice, it behoveth thee to help me.'"
I think that it cannot be para kaya pravesa as it generally happens between humans. But in the examples, it did not happen between humans and it happened between devtas/asuras and humans.
What exactly is possessing in this context?