Hello dear student, 

I hope you must be aware of the fact that aiims do not releases the cut off marks list of the counselling rounds while cut off rank is still is available. So According to 2017 cut off list of open round counselling the rank which obtained last seat was  2600 . I don't have the recent lists . So I would ask you to try for it. May be you get a seat in Aiims. 

Best wishes