The Secretary-General later met President Mwai Kibaki and then Prime Minister Raila Odinga.
President Mwai Kibaki's victory looked rigged, and vicious riots and looting were sweeping the country.
Government spokesman Alfred Mutua said Kibaki had no plans yet for such a meeting.
There are some on Mr. Kibaki's side who is saying that that never existed.
Mr Kibaki has promised that anyone in his government found stealing, however senior, will be jailed.
Secretary General Kofi Annan has been mediating in talks between Kibaki and Odinga's negotiating teams.
The conflict was sparked by last month's presidential election, which returned Mwai Kibaki to the presidency.
President Mwai Kibaki is stepping down after the election, at the end of his two terms.
If Mr Kibaki were to call them in, the danger of national disintegration might increase.
Kibaki has claimed victory, however, and appeared to say Thursday that his office was non-negotiable.
They are allegations Kibaki has faced since soon after he came to power five years ago.
The U.N. investigator suggested Kibaki acknowledge the alleged police killings and commit to stop them.
The event was hosted by the Kenyan President Mwai Kibaki and UN Secretary-General Ban Ki-moon.
That would diminish Mr Odinga and allow Mr Kibaki to retain his power of patronage.
But it remained unclear whether Mr Kibaki would serve a full five-year presidential term.
In that vote, both Mwai Kibaki, the incumbent, and challenger Raila Odinga claimed to have won.
Those elections pitted incumbent President Mwai Kibaki against Raila Odinga who leads the Orange Democratic Movement.
But to farmer Jeffrey Indiama, if those folks voted for Kibaki, they might as well be Kikuyu.
Kibaki, 76, won by a landslide in 2002, ending 24 years of rule by Daniel arap Moi.
During the 2007 elections Mr Kenyatta supported President Kibaki's bid for a second term against Mr Odinga.
The two later entered into a power-sharing agreement, with Odinga named prime minister and Kibaki named president.
In October, Kibaki blocked another attempt by lawmakers to award themselves bonuses, calling it unconstitutional and unaffordable.
Distancing himself from the Armenians, Mr Kibaki has suspended several senior policemen and immigration and airport officials.
ECONOMIST: An odd saga with Armenians has mocked the government
She served for two years in President Kibaki's cabinet as assistant minister for the environment and natural resources.
In the previous election, Mr Odinga said he had been cheated of victory by allies of Mr Kibaki.
President Mwai Kibaki has urged Kenyans to vote peacefully on Monday and for the losers to accept defeat.
Odinga was named prime minister in a coalition government led by Kibaki, with Kenyatta named deputy prime minister.
Mr Kibaki has inaugurated the service, and is expected to be the first passenger to take the ride.
Earlier this week, the ODM posted on its Web site a call for Kibaki to protect all Kenyans.
"We have done our nation proud and set a good example for the rest of the continent, " Kibaki said.
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