Twenty-two foreigners were among those killed and more than 200 people were injured.
Separately, dramatic new CCTV footage has been released of the firefight between militants and Indian police at the Chhatrapati Shivaji Terminus (CST) last Wednesday night.
India's NDTV has broadcast CCTV from inside Chhatrapati Shivaji Terminus on the night of the attacks
Indian officials have repeatedly said in recent days there is evidence that the militants behind the attacks had Pakistani links.
One gunman survived and is in police custody. Indian media reports say Azam Amir Qasab is from Pakistan and linked to the Pakistan-based Kashmiri militant group, Lashkar-e-Toiba, or Army of the Pure. The group denies involvement.
Islamabad has also denied any involvement and warned against letting "miscreants" inflame tensions in the region.
Dawood Ibrahim (above): Alleged underworld don blamed for serial bombings in Mumbai in 1993 that left at least 250 dead
Maulana Masood Azhar: Muslim cleric freed from jail in India in exchange for passengers on a hijacked plane in 1999
Hafiz Saeed: Head of Jamaat-ud-Dawa group and regarded as founder and spiritual leader of militants Lashkar-e-Toiba
India's new home minister has vowed to "respond with determination and resolve" to the crisis.
Palaniappan Chidambaram said: "This is a threat to the very idea of India, very soul of India."
But Mr Mukherjee said on Tuesday that India was not considering a military option.
The attackers in Mumbai opened fire in several locations, including a railway station, a popular restaurant, a hospital, two hotels and a Jewish centre.
The attacks on the two hotels - the Taj Mahal Palace and Oberoi-Trident - and the Jewish centre resulted in nearly three days of running battles between elite commandos and the gunmen before the sites were secured.
US Secretary of State Condoleezza Rice will visit India on Wednesday and the BBC's Sanjoy Majumder in Delhi says India will present its case against Pakistan and try to persuade Washington to apply diplomatic pressure on Islamabad to comply with its demands.
"We have asked for the arrest and handover of those persons who are settled in Pakistan and who are fugitive of Indian law," Mr Mukherjee told reporters in the Indian capital, Delhi.
Indian media reports say the names include alleged underworld don Dawood Ibrahim, who Delhi says lives in Karachi. Pakistani officials deny it.
Suspect named as Azam Amir Qasab, 21
Fluent English speaker
Told police he is from Faridkot in Pakistan's Punjab province
Said the attackers took orders from handlers in Pakistan
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