I wrote this about three years ago, but I have never posted it yet. Perhaps it would be helpful to post this, and a couple of the other passages that I’ve looked at that supposedly support the idea of reincarnation being present and consistent with the Scriptures:
In the book of Hebrews, Paul compares Jesus to Melchizedek. Of Melchizedek he says, “Without father or mother, without genealogy, without beginning of days or end of life, like the Son of God he remains a priest forever.” (Hebrews 7:3)
Some reincarnationists argue that this verse demonstrates that Melchizedek was a previous incarnation of Jesus. Since Jesus is declared to have assumed the priesthood of Melchizedek (vs. 21), and since he is declared to be a “priest forever”, Jesus must be a reincarnation of Melchizedek (Geisler, When Critics Ask).
But nowhere in this passage does Paul assert that Jesus is a reincarnation of Melchizedek – rather, Paul makes a comparison between the two. Paul does not say that Jesus is Melchizedek; he speaks of Jesus as a priest like Melchizedek (Hebrews 7:15, cf. vs. 3), never of Jesus actually being Melchizedek.