It is narrated from Nafi' (may Allah have mercy on him) that whenever Sayyiduna Abdullah bin Umar (may Allah be pleased with them both) had a nosebleed, he would leave (the prayer at that spot), then perform ablution, then return, then continue from where he had left off (and complete the remaining prayer, and during this period) he would not engage in conversation.

Imam Malik (may Allah have mercy on him) received the information that when Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) would have a nosebleed, he would go outside, then (only) clean the blood, then return (without performing ablution), and would continue from where he had left off in the prayer (and would complete the remaining prayer).

It is narrated from Hazrat Yazid bin Abdullah that Hazrat Saeed bin Musayyib (may Allah have mercy on him) had a nosebleed during prayer, so he went into the chamber of Sayyida Umm Salama (may Allah be pleased with her), who was the wife of the Prophet (peace and blessings be upon him). Then water for ablution was brought, so he performed ablution and then returned and continued his prayer from where he had left off.