The Trinamool Congress chief will the be the third UPA ally Congress will be discussing with on the issue after NCP chief Sharad Pawar and DMK supremo M Karunanidhi.
Sources said Banerjee will be discussing the issue with Gandhi. Pawar had met Gandhi at her residence last week while senior Congress leader A K Antony had a meeting with Karunanidhi in Chennai yesterday on the Presidential candidate.
Pawar was understood to have urged the Congress chief on the need for a consensus on the choice.
Congress spokesperson Manish Tewari today said "that in matters related to election or appointment of constitutional heads, Congress has followed a policy that "whatever happens should have the widest possible consensus. Whatever happens should have the largest possible consent." Tewari, however, disfavoured speculation over names.