Kejriwal presided over the meeting held on Friday. "Half of the discussion has been done and the remaining will likely be done on Sunday afternoon," the official said.
Dwarka legislator Adarsh Shastri, who is looking after the planning and consultation process of the project, confirmed about the interest shown by the companies.
"Several companies have contacted us in this connection. We will finalise the tender process in next few days," Shastri told IANS.
"A draft of the request for proposal (RFP) in this connection has been prepared and will soon be put before the chief minister for approval," he added.
The ruling Aam Aadmi Party (AAP) had promised during assembly polls to make the national capital a free Wi-Fi zone.
Asked about the development, a Facebook spokesperson said, "Connecting the world and delivering Internet access through a variety of ways is core to our connectivity mission. We are committed to working with various government agencies to help make Digital India a reality."