You can do either pg courses in vlsi,embedded,signal processing,communications and you can go to job opportunities in software in Infosys ,tcs,cts as program developer or script writer
embedded in texas,xilinx
chip:intel,cadence
TELECOMMUNITION:SONY,HP,PHILIPS
Job opportunities in (govt.):BARC,ISRO,DRDO,IES,BEL
BANK OPPORTUNITIES(PUBLIC):BSNL JTO,BANKS,CDAC,KELTRON.
you have so many opportunities as a ece student

If u want to pursue in core field then you can join CDAC.. You will have to crack an entrance exam first then you will study for 6 months where they will train you for industry tools and technique then in a good mnc's you can start your career