Not needed any more!
The two arteries and vein that are in the cord, as well as the supporting gelatinous-like substance that surrounds those vessels, pretty much just 'shrivel up'.
(in the womb, they carried blood to and from the placenta
.) it isn't unusual to see a very small amount of blood as the dried stump of the cord separates, and even a few days after that, but there shouldn't be any other kind of discharge.