As you want to get the list of entrance exams or colleges or universities which conduct entrance exam of M.Ed in India so here is the information of the same for you:

Faculty of Education - University of Delhi, Padmashri Dr Vithalrao Vikhe Patil College of Engineering, Ahmadnagar
Jankidevi Bajaj Institute of Management Studies, Mumbai, M.Ed; Affiliated to SNDT Women's University
MNR Rural PG College of Education, Medak; Affiliated to Osmania University
University of Kalyani, Kolkata
Guru Nanak Khalsa College Yamuna Nagar; Affiliated to Kurukshetra University
Aravali College of Advanced Studies in Education, Faridabad; Affiliated to Maharshi Dayanand University
Kurukshetra University, Kurukshetra, (Haryana)
DAV College of Girls - Kurukshetra, Yamuna Nagar
Mahatma Jyotiba Phule Rohilkhand University, Bareilly
Punjabi University College of Education, Bhatinda; Affiliated to Punjabi University
Acharya Nagarjuna University - Department of Education, Guntur; Affiliated to Acharya Nagarjuna University
Jahangirabad Institute of Technology, Barabanki
Chhatrapati Sahu Ji Mahraj University - CSJM - Kanpur
Karnataka State Open University, Mysore
Kaizen Institute of Event Management, Central Delhi
Bharati Vidyapeeth University Pune
Singhania University, Jhunjhunun
Tamil Nadu Physical Education and Sports University, Chennai
Jaipur National University - Faculty of Engineering, Jaipur; Affiliated to Rajasthan Technical University
North Maharashtra University, Jalgaon
HMKS and MGSM College of Education, Guntur; Affiliated to Directorate of School Examinations, Andhra Pradesh
Regional Institute of Education - National Council of Educational Research and Training, Ajmer
Centre of Distance Education - Jammu and Kashmir
The Integral University, Lucknow; Affiliated to the Integral University
Lucknow University, Lucknow
Bangalore City College, Bangalore
Dayananad Bachhrawan Degree College, Rae Bareli; Affiliated to Chhatrapati Shahuji Maharaj University
MD University - Department of Distance Education, Rohtak; Affiliated to Maharshi Dayanand University