During the hour-long meeting at Singh's residence here, Banerjee also discussed the flood-like situation in West Bengal due to heavy rains.
The chief minister was in the national capital to attend the oath-taking ceremony of Ram Nath Kovind as the 14th President.
During her meeting with Singh late evening, Banerjee apprised him of the security situation in the hill district of Darjeeling and the steps taken by her government to bring back normalcy in the region, an official privy to the meeting said.
Darjeeling has been witnessing indefinite strike called by the Gorkha Janmukti Morcha (GJM), demanding the separate state of Gorkhaland, since June 12.
In a written reply to the Lok Sabha today, Union Minister of State for Home, Hansraj Gangaram Ahir said there was no proposal to constitute a committee to look into the separate state demand of the Gorkhas and others agitating in Darjeeling.
Banerjee will leave for Kolkata tomorrrow.