Yes fella International Management Institute (IMI) also took participate in CFA Institute Research Challenge in India and I have some more names of institution that took participation.

Here I have some names of institutes
Department of Management Studies, IIT Roorkee
Indian Institute of Management, Ahmedabad
Indian Institute of Foreign Trade,New Delhi
Management Development Institute, Gurgaon
Xavier Institute of Management, Bhubaneswar
SP Jain Institute of Management & Research
Department of Management Studies, IIT Madras
Sydenham Institute of Management Studies, Research and Entrepreneurship Education
Indian School of Business, Mohali
Indian Institute of Management, Calcutta
Great Lakes Institute of Management
Indian Institute of Foreign Trade, Kolkata
Loyola Institute of Business Administration
Vinod Gupta School of Management, IIT Kharagpur
FLAME School of Business, FLAME University
Goa Institute of Management
DMS, Indian School of Mines, Dhanbad
Indian Institue of Management, Indore
Jamnalal Bajaj Institute of Management Studies, Mumbai
Symbiosis Centre for Management and Human Resource Development,Pune
Lal Bahadur Shastri Institute of Management
Bharathidasan Institute of Management, Tiruchirappalli
Indian School of Business, Hyderabad
Narsee Monjee Institute of Management Studies, Mumbai
Symbiosis Institute of Business Management
Indian Institute of Mangement, Lucknow
Master of Finance & Control (MFC), Department of Financial Studies, Delhi University
Faculty of Management Studies, Delhi
The Institute for Financial Management and Research (IFMR)
Indian Institute of Management, Rohtak
Institute of Management Technology, Ghaziabad
Indian Institue of Management, Shillong
Indian Institute of Management, Raipur
Indian Institute of Management, Banglore
SIES College of Management Studies, Nerul, Navi Mumbai
Prin. L.N. Welingkar Institute of Management Development and research
XLRI School of Business and Human Resources, Jamshedpur
National Institute of Industrial Engineering (NITIE)
Indian Institute of Management, Udaipur
Indian Institute of Management, Ranchi
T.A. Pai Management Institute, Manipal
Institute of Management Technology, Nagpur
Shailesh J. Mehta School of Management , IIT Bombay
Indian Institute of Management,Kozhikode
Birla Institute of Management Technology, Greater Noida
International Management Institute, Delhi
K.J. Somaiya Institute of Management Studies & Research, Mumbai
IFIM Business School
Indian Institute of Management, Trichy
DMS, IIT Delhi
Narsee Monjee Institute of Management Studies, Bangalore
Indian Institute of Management Kashipur