Moisture/condensation forming in corners of basement

We are in a bit of a coldsnap where I live (around -20C/-4F), and as such my walk-out basement has been getting quite cold as well which I am used to. However, this weekend I noticed that condensation seems to be forming in one of the corners, which builds up overnight and runs down the wall which leaves the baseboard and quarter round a bit damp by the morning. By the end of the day it is mostly dry but starts again every night. As I say, it's a walk-out basement which means this corner is particularly cold since it is where two exterior walls meet. It's actually so cold to the touch that some of the moisture even slightly freezes in to ice.

Wondering if anyone has experienced similar and what they did about it. My father in law looked at it this weekend and said it was fairly normal and just to wipe it down each morning when it gets cold as you do with your windows when condensation forms there. I wonder if there is a more permanent solution.