KVPY, SAT, ACT, IISER Aptitude test (aka iAT), AIIMS, JIPMER.
If it's specially engineering then, BITSAT (don't neglect), VITEEE (only Vellore campus is on par with bits), MET (Manipal- it's also good), SRMJEE(one of the 5 to get into MIT USA was from SRM univ, Chennai) and lastly don't ignore

Hello dear student, 

As you told you have scored 581 marks so yes there are pretty good chances for you to get admission in any government medical college in Kerala. There are many colleges and as you haven't mentioned your category so considering you to be general category student .

Dear student, category A seats in private colleges and seats of deemed university are only available for the state quota student registration under state counselling. Other state students can only secure admission in colleges via all India quota or on management quota seats by directly approaching the college authority.

The admission to all deemed universities in Tamil Nadu happens through the Medical Counseling Committee (MCC), DGHS. After the publication of results, MCC will call for registration of candidates who would like to apply for all India quota seats, deemed universities, central universities, AFMC and ESIC quota seats.

You have

SRM Medical College Hospital and Research Centre, Chennai has MBBS fees Rs. 10,125,000 for your complete course. 

Another college Sri Ramachandra Medical College and Research Institute, Chennai will cost you Rs. 99,00,000. 

The least fees is for PSG Institute of Medical Sciences and Research, Peelamedu which is around Rs. 56,25,000

SRM Medical College Hospital and Research Centre, Chennai has MBBS fees Rs. 10,125,000 for your complete course. 

Another college Sri Ramachandra Medical College and Research Institute, Chennai will cost you Rs. 99,00,000. 

The least fees is for PSG Institute of Medical Sciences and Research, Peelamedu which is around Rs. 56,25,000

Dear aspirant,hope you are doing really well.Now coming to your question.

now comparing the previous year last roung cutoff's rank for some of the private colleges in kolkata in general category,chances are there that you will grab a seat in some mediocre colleges that takes admission on the rank basis

dear aspirant,

This  mop up round is not applicable for students who have already been alloted with a seat in MBBS or BDS in round 1 and round 2 respectievely.This is only applicable for the students who were not allotted with any seats in the previous rounds of counselling. A

Dear,

Government Chengalpattu Medical College is the only governmental tertiary health care center in this district which is affiliated to Tamil Nadu Dr. M.G.R. Medical University, Chennai. It is recognized by the Medical Council of India. It offers Master degree course in the field of Surgery. This college in 1965