Arcana Coelestia #1056
1056. 'Between God and every living soul in all flesh that is on the earth' means all people with whom this can take place. This is clear from what has been stated, namely that the subject is people who are able to be regenerated. Consequently 'living soul in all flesh' does not mean anybody else.
2 Kings 14:8-9
8
Then Amaziah sent messengers to Jehoash, the son of Jehoahaz son of Jehu, king of Israel, saying, "Come, let us look one another in the face."
9
Jehoash the king of Israel sent to Amaziah king of Judah, saying, "The thistle that was in Lebanon sent to the cedar that was in Lebanon, saying, 'Give your daughter to my son as wife. Then a wild animal that was in Lebanon passed by, and trampled down the thistle.