I have wood pergola columns connecting to my house through fixtures which are fitted into grooves in the wood. The wood was cut slightly too short (or due to small variations in the wall), there is a small gap about 1–2 centimeters in some places. I want to fill the gap so that the metal fixture won't be visible and the wood "end" will be flush with the wall so water won't get between the column and the wall.
In this picture you might be able to see the small gap I need to fill. In some other places the gap is larger (in this case it might be barely visible)