This is not a common expression to my knowledge although, after Googling, I see it's a quote from the poet, Galway Kinnell, suggesting it's open to interpretation. I would suggest that the scars refers to the result of previous emotional damage that causes scars in the same way as physical wounds do, so each person coming to a relationship has their own emotional scars that can metaphorically "fall in love" with each other, as two people might.