Murong Fuyun (慕容伏允) (597–635), formal title Busabo Khan (步薩鉢可汗), was a ruler of the Xianbei state Tuyuhun. He first became ruler when his brother Murong Shifu was assassinated in 597, and became one of the longest-ruling monarchs in Tuyuhun history. During his reign, he had major conflicts with China's Sui Dynasty and Tang Dynasty, and in 635, during a Tang invasion, he was assassinated due to the people's resentment of his hostile attitude toward Emperor Taizong of Tang that led to the invasion.
Murong Fuyun's father Murong Kualü's reign (r. 540-591) as khan had been a turbulent one, particularly late in his reign, when even his crown princes were said to have been fearful for their deaths. As for his relations with China, then divided between Sui Dynasty (under the reign of Emperor Wen) and Chen Dynasty (under the reign of Chen Shubao), he was constantly attacking the provinces of Sui that were on the border of Tuyuhun, although after Sui destroyed Chen in 589, Murong Kualü was fearful and vacated the border region. He died in 591 and was succeeded by Murong Fuyun's older brother Murong Shifu, who offered to submit to Emperor Wen and further to offer a daughter to serve as Emperor Wen's concubine—which Emperor Wen (who had very few, if any, concubines, due to his love for his wife Empress Dugu) declined. However, after that, there was a time of peace between Tuyuhun and Sui. Indeed, in 596, Emperor Wen created the daughter of a clansman Princess Guanghua and married her to Murong Shifu.
For reasons lost to history, there was a major disturbance in Tuyuhun in 597, and Murong Shifu was assassinated. The people supported Murong Fuyun as khan. He sent emissaries to Sui to explain the situation and to ask for permission to, pursuant to Tuyuhun customs, marry Princess Guanghua as well. Emperor Wen agreed. (He and Princess Guanghua thereafter had at least one son, Murong Shun.)