Are there prophetic prophecies regarding the conquest of China and East Asian countries such as Korea and Japan?

There is no hadith from the Prophet, peace and blessings be upon him, specifically foretelling the conquest of China. However, there are hadiths that give glad tidings of the conquest of the Earth's East and West, and of Islam reaching as far as night and day. Indeed, parts of China were conquered before the end of the first century Hijri, and its rulers paid the jizya.