It’s tough for investment bankers world over. In India even tougher, for lawyers it’s probably impossible. Try switching to a boutique m&a firm or an investment bank then apply for pe jobs it might work. Pe also has an unwritten rule of only taking in kids younger than 30. So make sure you do it all before you turn 30.
Even with an MBA, I guess, chances of making it to a PE shop are less for a law grad because PE shops generally prefer IB/Consulting prior experience.