The police have arrested Senator Ovie Omo-Agege, who allegedly led thugs to steal the mace.
The meeting is said to be underway at the vice president office's wing of the Aso Rock Presidential Villa in Abuja.
According to Daily Trust, the meeting is not unconnected to the chaos that happened in the Senate on Wednesday morning.
Some hoodlums allegedly led by the suspended Senator Ovie Omo-Agege invaded the Senate plenary session and stole the mace, which is the symbol of authority of the Senate.
Following the incident, the police arrested Omo-Agege as the Senate described the stealing of mace as a treasonable offence.
The senator was suspended for forming a Buhari group which opposed the amendment the Electoral Act which seeks to alter the sequence of elections.
The Electoral Act as amended by the Senate has the presidential election coming last and the national assembly election holding first.
President Muhammadu Buhari had refused to assent the bill on the premise that altering the election sequence will infringe on the constitutional role of the Independent National Electoral Commission (INEC) to organise, undertake and supervise elections as enshrined in Section 15(A) of the third statue to the Constitution.