This is what I've known so far.
Primary Quest for Prophecy Characters
-Welcome to Cantha - will lead you to Foreign Quarter
Primary Quest for Factions Characters
- Mayhem in Market - will lead you to Local Quarter
I've tried to enter Local Quarter through Undercity with my monk but the door remain closed. I've beaten the game. I've read some where that you can enter Local Quarter after a while to get 100% open map. So what I've been wondering is how can i get there. This topic was brought up because today I tried to help my friend with his mission but I got only Foreign Quarter and he got Local.