I'd try a magic sponge.

Oh! I had not thought of them. They are safe for paint?

They are only safe for paint if the paint is a gloss finish, not flat. If you have some paint leftover, just do a small touchup where the rub marks are.

Most likely though it is the paint has been scratched off by the metal, not the other way around. I have a small container of every paint we have used in our house and I have several places I touch up regularly, one being where a small metal trashcan rubs the bedroom wall.

Unfortunately the paint IS flat. I remember reading somewhere that it was a problem for some kinds of paint. ItÂs such a small area, but itÂs next to the door so I see too much of it.

It has been a long time since it was painted, so we have no spare paint. I donÂt think the paint is rubbed off, you can see shiny parts the exact color of the brass item that was hanging there, in a semi-circular pattern where it moved whenever someone slammed a door.

If the paint is non-glossy and also non-flat, then you can try scrubbing it with Spic and Span. Eggshell paint is ok to scrub.