I suffer eczema, in the same places you have a problem.
In the sides of my nose, and just above my eyebrows.. (two small spaces )
If left, they itch and flake, and have bled in the past.
I use Betnovate scalp application on them, just on a cotton bud, then when that's soaked in use moisturiser over the top. ( I also have it on my scalp, and behind ears, although that's not so bad anymore) doc said I could use it on my face, occasionally because used too much can thin the skin....I've used it for years now, doesn't cure it, but gets rid of it for a while until the next flair up........
I also found e-45 cream made it worse....🤷♀️ Xx
I think things like hairspray and perfume , if they touch my skin breaks it out too.