Thank you for your valuable link, this link provides modern integration of traditional medical system with conventional medical system. I have mentioned in the description of the question that the integration of different traditional systems of medicine started way back in 372 AD in Gundi Shahpur.....
I want something regarding that aspect when all the books of traditional medicine were translated into Persian language.
Professor Ranjit Roy Chaudhry has written and edited extensively for WHO on this subject. His contributions are too many to note here, but all are available on the internet as pdf’s.
Your question "When was integration of traditional medicine done ?" is very interesting but put the wrong way round. What is traditional medicine, what is its opposite? In fact traditional medicine is as old as mankind and even today the greater part of the world's population would not survive without it's own traditional medicine. Take for example China: Only a relatively small percentage of China's population of 1,7 billion have access to affordable modern medicine. All the same the average age of Chinese of 76 years is not less than the average age in the Western world, although they have to rely on traditional medicine. Traditional medicine was not integrated in Western/Scientific medicine, but Western medicine developed out of the roots of Traditional medicine in Europe after the Middle Ages in the age of enlightenment in the seventeenth century. Much of the traditional knowledge was destroyed by academic arrogance and male dominance (also in the Catholic Church still today). The traditional herbalists and healers were denounced as witches and burnt on the stake to safeguard this dominance. But medical knowledge all over the world existed traditionally since the dawning of mankind. Even animals, especially primates, have medical knowledge and know which plants or fungi they have to collect and eat for which ailment. Already early humans in the Paleolithic (Stone Age) performed surgical interventions at the brain - and some patients obviously survived the procedure. The proof is found on skulls with trepanation holes and signs of bone healing. This includes also knowledge of some kind of anesthesia (probably somniferous plants) otherwise the patients would not have supported the operation. Also desinfection and postoperative wound care must have been known. Later in ancient Egypt the priests practised medicine at a high standard. By the way: The Greek Hippokrates, the Godfather of all modern doctors, has learned his medicine in Egypt. Egyptean and Greek manuscripts were then translated and kept by Arabian scholars, from where they were passed on to convents in Europe.
To conclude: "Scientific" Western Medicine appeared relatively late beginning in the seventeenth and 18th century and looked down on Traditional Medicine and unfortunately still does. Therefore Traditional Medicine was never integrated !
"Traditional Mexican medicine has changed over the centuries, interacting with other therapeutic models to conform what we call the "real health system" of millions of Mexicans of the 21st century, inhabitants of the countryside and the city. Strongly associated with medicinal plants - their most abundant, accessible and well-known resource - traditional medicine is much more than medicinal botany" (http://www.medicinatradicionalmexicana.unam.mx/presenta.html). Mexico has a tradition that comes before EC in terms of the use of medicinal plants and we currently have a large number of ethnobotanical studies conducted by researchers and their students. There are also some electronic resources such as the one I sent you at the beginning that shows the concern because this knowledge is still an important contribution to health, especially in rural areas and also in cities
I have a piece of information were presented at "Third International Conference on Holly Prophet Mohammad's Tradition (sireye Nabavi) in Medicine" but unfortunately its farsi (persian). I may translate it for you if necessray. In addition if you need any information about JundiShapur, I may be collect information for you.
Please refer to Helaine Selin's edited book Medicine Across Cultures: History and Practice of Medicine in Non-Western Cultures. pp. 1-27. If interested send me your email address and i will forward the PDF version to you.