The heated argument was said to have occurred before the commencement of the Federal Executive Council (FEC) meeting at the Presidential Villa.
Oyo-Ita, who had been queried by the Presidency over the reinstatement of the wanted ex-pension task force Chairman, Abdulrasheed Maina, is seen in the video angrily gesticulating while talking to Kyari and Vice President Yemi Osinbajo.
It is believed that the argument was about the Maina scandal.
In a leaked memo to Kyari, as a response to the query, Oyo-Ita had claimed that she informed the President about plans by some top shots in the government to have Maina reinstated, adding that she warned against it.
But she did not state Buhari's response in the memo.
Watch the video below: