Mr Singh told the all-party meeting in the capital, Delhi, that his government was committed to a strong Lokpal bill.
Under the bill, the Lokpal would be appointed by the president following a process that appears intended to guarantee independence.
The idea was passed by the lower house of parliament in the form of the Lokpal bill in December 2011.
The Lokpal bill has passed in the lower house of parliament but the upper house adjourned amid chaos in December without passing the controversial bill.
Recently, Ms Banerjee has opposed Congress on a number of key issues, including petrol price rises, water sharing treaties, retail reform and the anti-corruption Lokpal bill.
The bill that passed included several amendments, including that any investigation of the prime minister require a two-thirds majority on the new nine-member ombudsman panel, the Lokpal.
India's cabinet has approved some key changes to the controversial anti-corruption Lokpal bill suggested by a committee of MPs from the Rajya Sabha, the upper house of parliament.
It is called the Lokpal bill but Mr Hazare and his supporters derisively call it a "jokepal" bill, which they say is too weak and humiliates the Indian people.
In other words, the nine-member Lokpal committee - which would include the ombudsman - would not have its own investigative agency, a major demand of anti-corruption activists like Mr Hazare and many opposition parties.
It is now becoming increasingly clear that the Lokpal bill would not have passed muster in the upper house as the Congress party did not have the number of votes needed to pass the key bill.
On January 30, 2011 IAC leaders lead rallies in 50 Indian cities and a few cities overseas to protest against bill drafted by the government, and present their own (stronger) version called the Jan Lokpal bill instead.
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