Cosimo Bambi is currently Xie Xide Junior Chair Professor at the Department of Physics at Fudan University. He received the Laurea degree from Florence University in 2003 and the PhD degree from Ferrara University in 2007. He worked as a postdoctoral research scholar at Wayne State University, IPMU/The University of Tokyo, and LMU Munich. He joined Fudan University at the end of 2012. His main research interests focus on theoretical and observational studies on black holes. He has published about 200 papers on high impact factor refereed journals as first or corresponding author, he has over 9,000 citations, and his h-index is 51 (Google Scholar). He has published several books with Springer, either as author and editor. He has received a number of awards, including the Magnolia Gold Award (上海市白玉兰荣誉奖) in 2022 and the Magnolia Silver Award (上海市白玉兰纪念奖) in 2018 from the Municipality of Shanghai, the International Excellent Young Scientists Award from the National Natural Science Foundation of China in 2022, and the Xu Guangqi Prize from the Embassy of Italy in Beijing in 2018.The theory of General Relativity has successfully passed a large number of observational tests. The theory has been extensively tested in the weak-field regime with experiments in the Solar System and observations of binary pulsars. The past 6-7 years have seen significant advancements in the study of the strong-field regime, which can now be tested with gravitational waves, X-ray data, and mm Very Long Baseline Interferometry observations. In my talk, I will summarize the state-of-the-art of the tests of General Relativity with black hole X-ray data, discussing its recent progress and future developments.