Yes dear, there are but you can only get in through NRI Quota in Medical Colleges by qualifying in the entrance examination. Admissions take place on the basis of the marks NRI is falling under the 15% category with management quota . Adittionally I am attaching a link, do check it, here you will all information regarding gov+ private colleges which take NRI students  i.e elligiblity, number of seets, courses and fee structure.

Here is the list of a Government colleges providing NRI quota:

• Maulana Azad Medical College
• Lady Hardinge Medical College
• Government Medical College, Amritsar
• Grant Medical College
• Madras Medical College, Chennai
• Bangalore Medical College, Bangalore
• Vardhman Mahavir Medical College, New Delhi
• Institute of Medical Sciences, Banaras Hindu University, Varanasi
• Stanley Medical College, Chennai
• Armed Forces Medical College, Pune
• Lokmanya Tilak Municipal Medical College, Mumbai
• Calcutta Medical College and Hospital, Kolkata
• Patna Medical College, Bihar
• Government Medical College, Kota
• Punjab Institute of Medical Sciences, Jalandhar

Hello student,

Yes, there are some government medical colleges in Punjab in India which have NRI seats. Some of them are:

• Government Medical College, Amritsar
• Government Medical College, Patiala
• Guru Govind Singh Medical College, Faridkot

Each of the above mentioned college consists of 13, 13 and 15 seats respectively.

Cheers!