The statement said "we are aware of several media reports suggesting that Senator Omo-Agege personally removed or encouraged anyone to remove the Mace of the Senate".
He said that while the Upper Chamber was awaiting the "return" of the mace, it would continue with its legislative activities, adding that the lawmakers would not be terrified in carrying out their constitutional duties.
Having suffered suspension does Omo-Agege has legal right to enter the chamber.
Similarly, former Vice President Atiku Abubakar condemned the invasion of the Senate chamber and the removal of the mace by hoodlums.
Earlier, a young man dressed in a T-Shirt and trouser snatched the senate's symbol of authority and fled immediately.
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The BJP said that the meeting between Mr Gandhi and the then United States ambassador took place months after the Mumbai terror blasts of 26/11.
Meanwhile, Omo-Agege has been arrested by the Police.
He said the security around the National Assembly complex would also be reinforced to prevent a recurrence.
Laws can not be passed by Nigeria's Senate in the absence of the mace, a symbol of authority binding decisions taken on the Senate floor.
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The directive was given in a statement signed by Mr Aliyu Abdullahi, Chairman, Senate Committee on Media and Public Affairs.
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Omo-Agege had however attended the plenary on Wednesday.
Omo-agege led the suspects to the Senate to steal its symbol of authority after he was suspended by the Red Chamber for kicking against its bid to reorder the 2019 election sequence. "Senator Omo-Agege trusts them to thoroughly investigate this very serious matter", the statement read in part.
The Senate is now in a closed door session. The session is presently live on NTA Channel 10.
"We are determined to conclude all matters slated on the Order Paper for today, even if it means us sitting until 6pm", said Ekweremadu.
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