The meeting which was held behind closed doors at the Presidential Villa, Abuja was also attended by the Director-General of the Department of State Security, Lawal Daura.
When State House correspondents approached the police boss at the end of the meeting, he declined comment.
The meeting was held about 24 hours after police authorities summoned the President of the Senate, Bukola Saraki, over his alleged relationship with suspects arrested following the April 5 bank robbery in Offa, Kwara State.
It also came shortly after the DSS withdrew some of its men attached to Saraki and the Speaker of the House of Representatives, Yakubu Dogara. As of the time of filing this report, the Presidency had yet to issue a statement on the meeting.