Defence sources said the talks between Indian and Russian officials here are being held as both the countries are keen to go ahead with the FGFA. Putin is scheduled to arrive in New Delhi the next day.
However, there are issues on which both sides have not arrived at a consensus.
The sources said that it is "unlikely" that the contract would be signed during Putin's visit.
Currently, the final design and research and development contracts are under negotiations between the two countries.
Also Read
The preliminary design agreement on FGFA had been signed in 2010 between HAL and Russian Sukhoi Design Bureau to build the jet for use by both countries.
But the final R&D contract, which was to be signed by 2012, is still to be finalised. The contract would pave the way for prototype development and flight testing.
Sources said this will impact India's indigenous capabilities to develop such an advanced fighter aircraft. They also said that there are issues related to other aspects of the plane too.
The FGFA project is based on the Russian Air Force's Sukhoi T-50 PAK-FA platform. The Indian version will be tweaked to add some more advanced features. The total programme is expected to cost India about USD 25-30 billion.
The FGFA is a long-term acquisition that would take at least eight years from the signing of the contract.