It is narrated from Sayyiduna Miswar bin Makhramah (may Allah be pleased with him) that he went to Sayyiduna Umar (may Allah be pleased with him) on the night in which he was wounded, and Sayyiduna Umar (may Allah be pleased with him) was awakened for the Fajr prayer. He said, "Yes," and (added), "There is no good in the share of Islam for the person who abandons the prayer." So Sayyiduna Umar (may Allah be pleased with him) performed the prayer while blood was flowing from his wound.

It is narrated from Yahya bin Saeed that Hazrat Saeed bin Musayyib (may Allah have mercy on him) said: What do you say about a person whose nosebleed continues and the blood does not stop?
Yahya bin Saeed said: Then Saeed bin Musayyib said that in my opinion, he should perform the prayer by making gestures.
Imam Malik (may Allah have mercy on him) said: I like the statement of Saeed bin Musayyib very much among the statements that I have heard in this regard.