Is the Prophet Muhammad's saying: "I feel a cool breeze coming from India" an authentic hadith?

The hadith (definition) mentioned in the question has no basis with this wording. However, there is a narration attributed to Ali ibn Abi Talib, may Allah be pleased with him, from two channels: the first is authentic, and the second is weak. Both indicate that Adam, peace be upon him, descended in India, and that it is the source of the perfumes with which people adorn themselves. The authentic narration mentions that the best of valleys for people are the valley of Mecca and a valley in India, and that the worst of valleys are the valley of Al-Ahqaf and the valley of Barhut in Hadramout, and that the best well is Zamzam while the worst well is Balhut in Barhut.