I have attached the list of companies those provide training for biotechnology student. I hope it will help you.
ACS-Bioinformatics, Lucknow. Website : www.acsbioinformatics.com . Training: Bioinformatics
Institute of Human Behaviour & Allied  delhi
Sciences
Apollo Hospitals, Sarita Vihar, New Delhi-110044. Tel: 11-6925801, 6925858, Fax: 91-11-6823629.Training: Molecular Biology, Immunogenetics etc
Arid Forest Research Institute (AFRI), New Pali Road, Jodhpur 342 005. Tel: 91 291 272 29162, Fax: 91 291 2722764. www.afri.res.in. E-Mail: tarunkant@icfre.org. drtarunkant.port5.com.  Training: Plant tissue culture
Banaras Hindu University, School of Biotechnology, Microbial Biotechnology Unit, Varanashi-221005. Tel; 091-542-2307315, 23683331 (o), Email: kashok@banaras.ernet.in Fax: 091-542368693. Training: Mol Biology.
Baxter India Pvt. Ltd.Plot No. 183, Sector-5, IMT-Manesar, Gurgaon, Haryana-122050. Tel: 91-124-2290131/135. Fax: 91-124-2290144.Training: Instrumentation, Flame photometery, spectrophotometery and endotoxins
Bhagwan Mahaveer Cancer Hospital and Research Centre, JLN Marg, Jaipur-302017. Tel: 0141-2702106, 2702120, Fax: 91-141-2702021. E-Mail: rkchatur@hotmail.com ,  bmchrc@hotmail.com.www.bmchrc.org. Training: Hematology, HIV, Malaria, hepatitis Test via ELISA
Bioinformatics Institute of India (BII), Noida. www.bii.in. Training: Bioinformatics, Biotechnology
BITP - Biotech Industrial Training Programme. Sponsored by Department of Biotechnology (DBT) New Delhi. Candidates are selected as per requisitions received from the companies. Students with PG in Biotechnology are given practical training in biotech companies, along with stipend of Rs.6,500/- p.m. The application can be accepted online through the website: www.bcil.nic.in    
 
 
Borocaps Pharmaceutical, Office at: D-216A/1, Bhaskar Marg, Banipark, Jaipur 302016. Working Plant at: HI-46, RIICO Industrial Area, Sarna Dungar, Jaipur-302012. Tel: 0141-3290535, 2282360.Training: Pharma drug manufacturing (capsule, syrup), spectrophotometry
CAZRI, Jodhpur-342003. Tel; 91-291740483. Fax: 091-291-740706. Website: http://www.cazri.res.in/Training: Plant tissue culture. 
Central Avian Research Institute, Izatnagar, (CARI), Uttar Pradesh. 243 122 U.P. India.www.icar.org.in/cari/index.html. An ICAR unit engaged in the field of poultry research, education, extension and training in India. Research on avian genetics, breeding, physiology, nutrition. 
DALAS Biotech ltd, E-292, Phase-I, RIICO Inddustrial area, Bhiwadi. Dist. Alwar, Raj. Tel: 91-1493-223478/222123. Fax: 91-1493-223437, Email: info@dalasbiotech.com. www.dalasbiotech.comTraining: Biotransformation, antibiotic production, enzyme kinetics. 
Defence Laboratory Jodhpur, Defense research and development organization, Ministry of defense. Training: Bone grafting.
Human DNA Bank, Biotech Park, Sector-G, Janki Puram, Kursi Road, Lucknow-226021. Tel: 0522-4017995, Fx: 0522-4012081. www.dnabankindia.com. E-mail: ibs@dnabankindia.com. Training:Isolation of human genomemic DNA nad its quantitative and qualitative analysis via molecular biology.Dr.Saeed Ahmad, Director, IQRA Biotech Services. 
An ICAR unit. The Indian Agricultural Research Institute (IARI) is the country's premier national Institute for agricultural research, education and extension. It has served the cause of science and society with distinction through first rate research, generation of appropriate technologies and development of human resources. Training: Provides training to PG students.
Indian Council of Agricultural Research (ICAR), Krishi Anusandhan Bhavan, Pusa, New Delhi 110 012. Telefax: (011) 25843657. [url=http://www.icar.org.in/]http://www.icar.org.in/
ICAR includes Institutes, Bureaux, National Research Centres and Project Directorates having manpower of about 30,000 personnel out of which nearly 7000 are engaged in active research and its management. Under the aegis of ICAR 38 Agricultural Universities (SAUs) employ about 26,000 scientists for teaching, research and extension education; of these over 6000 scientists are employed in the ICAR supported coordinated projects. ICAR has large number collabrations with national and international institutions. It acts as a repository of information and provides consultancy on agriculture, horticulture, resource management, animal sciences, agricultural engineering, fisheries, agricultural extension, agricultural education, home science and agricultural communication. ICAR trains 6 lakh farmers are trained every year in various fields of agriculture such as Crop Production, Plant Protection, Livestock Production and Management, Soil and Water Management, home science, poultry, dairying, piggery, bee-keeping, fisheries, fruit & vegetable preservation, maintenance and repairing of farm machinery and tools, and hybrid seed production. Organizes summer training, workshops, seminars and winter schools. Can procure CDs at affordable price on various aspects of agriculture.
Indian Institute of Technology-Delhi, Hauz Khas, New Delhi-110016. Tel: 011-26596109, 26591001. E-mail: 
saroj@dbeb.itd.ernet.in, 
saroj98@hotmail.com (Senior Professor). Training: Biochemical Engineering and Biotechnology.
Institute of Genomics and Integrated Biology (IGIB), Delhi University Campus-110007, India. Tel: 91-11-27667602, 27666156-157. Fax: 91-11-27667471. info@igib.res.in. www.igib.res.in. Training:Plasmid isolation, PCR, Mol bio, genomics studies on various diseases like TB etc. 
Rajasthan Agricultural University, Near Deen Dayal Upadhyay Circle, Bikaner 334003 (Raj.). Tel; 0151-2543419, Fax: 2549348. Training: Molecular Biology, Microbial Biology.
Rajputana Biotech Pvt. Ltd. Vill. Khori, Ropada, Agra Road, Jaipur. Tel: 9784542128, 9414049515, 9829414389.Training: Biomedical Waste treatment/disposal through incineration.