Client facing jobs for Indian graduates with experience?

As the title says, are there companies out there which might give graduates who have 2-3 years of experience a shot at front office/client facing jobs? I know even some of the best MBA colleges which are still placing students at McKC or similar c…

As the title says, are there companies out there which might give graduates who have 2-3 years of experience a shot at front office/client facing jobs? I know even some of the best MBA colleges which are still placing students at McKC or similar captive KPO units of a consulting firm or a bank.

So if the top consulting firms or banks are out of reach, is it possible to work in a mid-tier consulting, marketing or financial firm? I'm fine with a research/analyst type role.

Also please mention any companies you know which hire graduates for a FO role?

Thanks