General expressions

кровотечение bleeding
кровоточить to bleed
NB The verb кровоточить is only used with the word рана "wound" as a subject: Рана всё ещё кровоточит "The wound is still bleeding." Neither a person nor parts of the body may serve as the subject of this verb.
быть [no Pf.] (весь) в кровиloc to be (all) bloody, to be covered with blood
Ой, у тебя руки в крови! Oh, your hands are all bloody!
NB The above expression can also be used as a secondary predicate:
Он прибежал весь в крови. He ran in all covered with blood.