They hope to 'build a bridge' between the two cultures. [=they hope to help the people in the two cultures understand each other]
I don't know how we'll pay the bills if you quit your job, but 'we'll cross that bridge when we come to it'.
We had our differences in the past, but that's all 'water under the bridge' now.
(..) She did indeed. Her dragons are fire made flesh, a gift from the Lord of Light. But you heard all of this before, haven't you? On the Long Bridge of Volantis. The dragons will purify nonbelievers by the thousands, burning their sins and flesh away. Ideally we'd avoid purifying (..)2016 TvShow: Game of Thrones Title: The Door Season: 6 Episode 5
(..) To execute the man who killed my father. (men murmuring) I did. I killed him. Threw him right over a rope bridge and watched him fall. and we would still be heading there if it weren't for me. No one loved him. No one wanted to follow him. (..)2016 TvShow: Game of Thrones Title: The Door Season: 6 Episode 5