[pm90]

For engineering, the best university is IIT(govt. funded) and BITS Pilani (private). To get into them, you must take their entrance examinations (which are very competitive).

The National Institute of Technologies are a group of universities that give direct admissions to foreign nationals [0]. But be careful, only a few highly reputed ones might give a competitive education.

There are other universities like ManipalTech[1], VIT[2] which also give direct admissions to foreign nationals.

[0] https://www.dasanit.org/ [1] http://www.manipal.edu/INTERNATIONALSTUDENTS/UNDERGRADUATE/P... [2]http://www.vit.ac.in/