Disclaimer, I can't confirm this answer as I dont have access to the source at my current residence.
I believe S. Frederick Starr wrote in his book "Lost Enlightenment Central Asia's Golden Age from the Arab Conquest to Tamerlane," that Ionian Medicine was introduced by Persian, Arabic and other Islamic scholars via the Turkic conquests in the 12th century, particularly Mohammed of Ghazni.
This comes as no surprise, as Greek texts were widespread and translated throughout the Islamic World. It is true that Arabs first entered the Sind (northern South Asia) in the 8th century however it was the Turkic nomads that established a large state in South Asia and diffused a second wave of Islamic Culture.
Checkout the book, it is an excellent read!