Would it be acceptable for the umbilical cord to bleed?

Depends on situation: Since the umbilical stump is composed of arteries & a vein that fed baby during pregnancy, it acquired a significant size.As the cord stump dries & separates, there is often a bit of bleeding.Usually only enough to cover a few q-tips.Local care as you would a scratch is all that is needed unless the bleeding persists.Occasionally the pediatrician needs to cauterize a stubborn bleeder in the offic.