The Inspector General of Police, Ibrahim Idris is also in the closed-door meeting.
Yemi Osinbajo shortly after the invasion at the Presidential Villa, Abuja.
The presidency in a statement said the obstruction of lawmakers was without its consent.
"Obviously, like I said, I have not got a detailed brief on that".
Marcus Rashford handed the Man Utd No.10 shirt against Bayern
He did, however, say he wants to remain at Chelsea following Sunday's 2-0 Community Shield defeat against Manchester City. Yerry Mina (Barcelona) and Willian ( Chelsea ) are among those to be linked with a move to Old Trafford.
The sacked DSS boss had earlier met behind closed door with the acting president with the IGP Idris and the Chief of Staff to the President, Malam Abba Kyari, in attendance.
It described the move as an "unauthorised takeover of the National Assembly complex" which was "a gross violation of constitutional order, rule of law and all accepted notions of law and order". After the lawmakers were allowed in, other officials and the media remained barred from the premises.
At the start of the siege, everyone, including lawmakers, was prevented from entering the National Assembly. But it turned out there was nothing like that in the offing as no APC senator was in the National Assembly when they were creating the row outside the gate.