At yesterday's meeting, Vishwas insisted that stern action be taken against Okhla MLA Amantullah Khan, who had accused him of being a "RSS-BJP" agent and plotting a coup in the party, sources said.
A section of AAP MLAs also held a separate meeting with Vishwas early today but details were not immediately available.
Khan had on Monday resigned from the party's Political Affairs Committee (PAC).
After the emotional outburst, Vishwas had threatened to quit the party.
The chief minister and deputy chief minister Manish Sisodia had visited Vishwas's Ghaziabad residence late in the night to pacify him. The three, along with party leaders Sanjay Singh and Ashutosh, then went to Kejriwal's residence. The meeting continued until late in the night.
The PAC is also likely to meet today to discuss the issue.