You can get a warforge in bfa dungeons, but I think the max it can go up is 10ilvls. You'll never get a titanforge before 120. Legion dungeons can titanforge, and raid gear of course.
Quests can only socket/tertiary stat, and they can have the bump in item quality so green can go to epic and that's usually about 10-13 ilvls depending on it's start point. Had some quest boots bump to epic 220 on my 110 yesterday as an example