Vice President Yemi Osinbajo on Thursday held separate private meetings with governors Mohammadu Abubakar of Bauchi State and Jibrila Bindow of Adamawa.
The Independent National Electoral Commission (INEC) had declared the March 9 governorship election in both states inconclusive.
Both governors declined to speak with State House correspondents after emerging from the meeting.
In both Bauchi and Adamawa, the opposition PDP candidates were leading in the elections before they were declared inconclusive.
Six states are scheduled to hold the run-off.