Sources said Banerjee will stay put in the capital and may have discussions with some leaders on the issue.
Trinamool sources said the PM had invited Banerjee for a meeting on Wednesday but it did not take place as the schedule was not finalised.
The PM's invitation to Banerjee came on a day before she met Congress chief Sonia Gandhi.
After the meeting with Gandhi, Banerjee said Congress' choice for the top post is Finance Minister Pranab Mukherjee and Vice President Hamid Ansari.
Later, she and Yadav had a meeting during which they came up with the name of the Prime Minister and former President A P J Abdul Kalam and Lok Sabha Speaker Somntah Chatterjee.
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