Clinton will have "extensive conversations" on security and economic cooperation in New Delhi.
New Delhi has tried to avoid being seen to point the finger at its neighbour, Pakistan.
No one has claimed responsibility for the bombings that killed 19 and injured more than 100.
Talks to continue on schedule, both sides reiterate.
It was feared that someone might try to ruin the recent trend of improving relations by striking again in Mumbai.
Two men who sustained serious injuries in Wednesday's rush-hour bombings died in hospital.
Almost each diplomat I talked to felt good about ‘the restraint’ the Indian govt maintained ‘this time around’.
Two suspected members of the Indian Mujahideen militant group have been quizzed.
police hunting for clues and suspects in the monsoon rains.
Bollywood stars share their concern for Mumbai blasts victims.