Dialogue is a special mode of communication. It is different from anything we know in daily life. In daily life we are mostly engaged in conversation, chattering, gossip, contention, debate, discussion, etc. These are not really forms of communication, they are essentially entertainment or verbal warfare.
True communication is communion. When two or more individuals come together in at-one-ment, that is communion. Now we may ask, in what way is dialogue communion? How are we communing in the act of dialogue?
Dialogue is joint participation in a search for truth.
Whenever we jointly discern the truth, we partake in its realization. Jesus said: "Ye shall know the truth, and the truth shall make you free" (John 8:32). To be made free is synonymous with healing. So then while dialogue itself cannot heal, in dialogue healing can take place because in it we jointly participate in a realization of truth.