Thank you for your query 

Private medical colleges do not come under All india quota. 

However  their seats do come under 85% state quota of which the student has a domicile. And if the seats do not fill by the counselling conducted by the state government, then the particular college call students for mop up. 

Top Private Medical Colleges in India-

Christian Medical College, Vellore.

Kasturba Medical College, Manipal.

St Johns Medical College, Bangalore.

Christian Medical College, Ludhiana.

Sri Ramachandra Medical College and Research Institute, Chennai.

JSS Medical College and Hospital, Mysore.

Kasturba Medical College, Mangalore

All the best