Israel, Turkey, Saudi Arabia, Iran, etc., all fall inside the Asian continent so Middle Eastern countries are considered part of Asia and the Middle East.

However, if you would look at the map of the Asian continent then you would see that the Middle East and most of Russia are geographically part of Asia, so is India.

Therefore, India is a south-Asian country.

The Middle East ends with Iran on the easternmost end. India among other nations like Pakistan, Afghanistan, Bangladesh, Nepal, Sri Lanka, Maldives, and Bhutan, combine to make South Asia.

For more info, kindly view this: https://southasianconcern.org/who-are-south-asians/

Hope it helps!