Depends what fridge you have.
The older fridges just have a temp range dial, not a temp setting, they are just dumb fridges. Setting it low means a low flame, or low electric heat, setting it high means a higher flame and thus more cooling.
If it is cold outside then the fridge will freeze because even at low setting the temp is dropping too much. Now way around this but to turn it off at intervals. I had this problem at night with similar fridge.
If it is a newer fridge that knows the temp then you have sensor problem as mentioned above. New parts are in order since you already tried to take food out and give interior the correct air space.