To "meet" someone can be positive or negative: it can be a welcoming and greeting, or it can be "meeting" them in battle. Both meanings are reflected in the internal sense of the Bible. In positive meetings between people, "meeting" represents a joining and communication between the spiritual states the people represent. In negative ones, however -- and especially in cases where the Lord is pictured as meeting someone -- it stands for opposition between the states. It's worth noting here that according to the Writings the Lord never actually opposes anyone. The Lord is love itself, and He is continually loving everyone and willing them to be good and move toward heaven. But when people reject His love and move away, it creates the appearance that He is opposing them, despite the fact that His attitude and stance toward all of us never changes.

In Genesis 14:17, this signifies to submit oneself. (Arcana Coelestia 1721)

In Genesis 19:1, this signifies acknowledgment, and also the effect that love for others has. (Arcana Coelestia 2326)

In Genesis 24:65, this signifies for the purpose of union. (Arcana Coelestia 3205)

In Genesis 29:13, this signifies agreement which unites. (Arcana Coelestia 3806)

In Genesis 32:6, this signifies that the good of love flowing into truth. (Arcana Coelestia 4247)

In Exodus 4:14, this signifies reception or to come prepared to receive divine truth. (Arcana Coelestia 7000)

1721. That 'the king of Sodom went out to meet him' means that the evil and falsity submitted to Him is clear from the meaning of 'the king of Sodom' as the evil and falsity against which the conflict took place, and from the meaning of 'going out to meet' as submitting. Mention is made here of the king of Sodom because of this point occurring in the sequence of thought, that the evil and falsity submitted themselves to Him; but that king is not specifically the subject until verse 21 below.