As per your request, I listed names of the telecom companies in India that offering the internship to B.E/B.Tech Electronics and communication engineering students.

Bharti Airtel
Reliance Communications
Idea Cellular
Tata Communications
Tata Teleservices
Spice Communications
MTNL
GTL
GTL Infrastructure
OnMobile Global
HFCL Infotel
ITI
Him.Fut.Comm
Astra Microwave
Gemini Communications
Avaya Global
Shyam Telecom
Nelco
XL Telecom & Energy Limited
Goldstone Infratech Ltd
Nu Tek
Kavveri Telecom
Krone Communications
Mobile Telecommunications Ltd
Valiant Communications
Pun.Communi.
Nettlinx
Aishwarya Telecom Ltd
Interg.Digit
Vital Communications

Following are the courses you will cover in internship

• Module1: GSM – Architecture, Protocols and Services
• Module2: Radio Frequency (RF) Planning
• Module3: Transmission Technologies: Designing, Configuration and Maintenance.
• Module4: RF and Transmission Survey
• Module5: Implementation BSS
• Module6: OMT for Optimization
• Module7: Coverage Solutions
• Module8: Operation and Maintenance: Faults and their Rectification.
• Module9: Network Switching System, SS7 and IN.
• Module10: Value Added Services, GPRS, EDGE, SGSN, and GGSN.
• Module11: Network Performance Optimization
• Module12: Drive Testing
• Module13: CDMA Fundamentals
• Module14: 3G Mobile Networks
• Module15: 3.5G Networks – Next Generation Networks
• Module16: 4G Networks – The Future of Wireless.
• Module17: Telecom Management
• Module18: Introduction to Linux, Oracle and Networking (CCNA)
• Module19: Essential Career Skills
• Module20: PROJECT, ASSESMENT AND CERTIFICATION
• Module21: PLACEMENT ASSISTANCE