There was an exchange between the medieval continent and Britain
The Turkic monk Raban Sauma traveled all the way from China to Europe and then met King Edward I of England in France. The monk had also been to St. Peter's Basilica. The time is almost after the Southern Song Dynasty was just destroyed by the Yuan Dynasty.
There is also a little brother, who arrived a little later, and successfully visited Britain after the Middle Ages, his name is Shen Fuzong, and he is the first person in China to visit Britain since there is any record. He met James II, converted to Catholicism, and finally died on a ship returning to China from Portugal at the age of 33. However, in terms of time, this is already a matter of the Qing Dynasty.