The meeting will also have a session with Ambassadors of the Gulf countries posted in India, the Spokesperson said.
The reclusive Sistani, who heads a council of senior clerics, also said Iraq’s next government must be “effective” and avoid “past mistakes.
The two have also been at loggerheads over the war in Syria where Moscow has helped prop up the regime of strongman Bashar al-Assad.
Delhi must deal with the humanitarian challenge in Iraq. And end its political neglect of the region
Congress has urged the Centre to take effective steps to ensure the safe return of Indians trapped in Iraq.
It was not immediately clear who was behind the attack, or if it was planned or a target of opportunity.
Fallujah has been out of government hands for months, with militants holding sway.
Militants often target night clubs, liquor stores and brothels. They want to impose a strict interpretation of Islam in Iraq.
US withdrawal from Afghanistan may not go according to plan.
Violence has reached a level not seen since 2008, when Iraq was just emerging from a period of brutal sectarian killings.
The latest bloodshed comes amid a surge in violence that left more than 1,000 people dead last month.
Two years after U.S. troops left Iraq, violence has climbed back to its highest levels since the Sunni-Shi’ite bloodshed of 2006-2007.
This month,238 people have died from sectarian violence in Iraq.
More than 4,000 people have been killed in violent attacks since the start of April.
Nine died and four were wounded in an apparent dispute between militant groups,when a bomb targeting a vehicle exploded south of the disputed city of Kirkuk.