The meeting, which held behind closed doors for 20 minutes, did not produce an official statement.
But one of the lawmakers told The Guardian that earlier threats and counter-threats by the All Progressives Congress (APC) and the Peoples Democratic Party (PDP) lawmakers were dropped.
"The Senate today (October 9) reconvened after over two months recess and immediately went into a closed session where all members had frank discussions about the future of the Eighth Senate as it goes into its last stage," he said.
The Senate President, Bukola Saraki, promised that national interest would continue to take precedence over other considerations during sittings.
APC National Chairman, Adams Oshiomhole, had severally urged his party men in the upper chamber to unseat Saraki on account of his recent defection to the PDP. However, senators on the platform of the All Progressives Congress (APC) on Tuesday, abandoned Oshiomhole and agreed not to impeach Senate President Bukola Saraki.
The chamber expressed concern over the serial rejections by President Muhammadu Buhari to sign the Electoral Amendment Bill and other 15 bills recently passed by the National Assembly.
It also set up a Technical Committee to review the bills that were rejected by Mr Buhari.
The bills are:
Petroleum Industry Governance Bill (PIGB); National Institute of Hospital and Tourism (Establishment) Bill; National Research and Innovation Council (Est.) Bill, 2017; National Institute of Hospitality and Tourism (Est.) Bill, 2018; National Agricultural Seeds Council, 2018 and Subsidiary Legislation (Legislative Scrutiny) Bill, 2018. Stamp Duties (Amendment) Bill, 2018; Institute of Entrepreneurship (Est.) Bill, 2018; Industrial Development (Income Tax Relief) (Amendment) Bill, 2018; Advance Fee Fraud and Other Related Offences (Amendment) Bill, 2017; Nigerian Maritime Administration and Safety Agency (Amendment) Bill, 2017.