Hello Deepak,

Here is the list of best colleges for VLSI design course for pursuing Phd in India:

1. Indian Institute of Technology, Madras

2. Indian Institute of Technology, Delhi

3. Vellore Institute of Technology, Vellore

4. Indian Institute of Technology, Bombay

5. Indian Institute of Technology, Kharagpur

6. Indian Institute of Technology, Roorkee

7. Indian Institute of Technology, Kanpur

Hope it helps.

Good Luck!