I’ve Google alot but didn’t find anything that works or me…
I have rigged model and everything works fine. Just when I enter Edit mode while selecting mesh or rig, it teleports to other location. I tried changing pivot and everything, and when I get model in Edit mode in position I want - when I get back to Object or Pose mode - it again teleports somewhere else (in this case it goes up on Z axis)…
Very confused here, if someone has idea please help 
Post a blend here so we can help you. After you upload it, post back with url so we can look at it for you.
http://pasteall.org/blend/
Sounds like your rig and mesh are out of translation, its hard to tell in your screen shot where your rigs origin is.
Added this link; https://lollypopman.com/2016/03/04/tutorial-rigify/