The request for the racism debate was made in a letter signed by more than 50 African nations to the president of the council, Austrian Ambassador Elisabeth Tichy-Fisslberger.
The United States withdrew from the council in 2018 but keeps a wary eye on its deliberations.Washington complained of being singled out in the draft text, and a number of its allies, including Australia and Israel, spoke out against the U.S. focus during the debate.
Bachelet herself did not speak out specifically in favour of the draft resolution, but she did stress the need for "decisive reforms".
Doing so, he warned, "would transform it into an "all lives matter" text, and risk making it so vague as to be meaningless". Their life with people of color matter. "All human beings are born equal in dignity and rights", she said.
In the lead up to the session, Burkina Faso called for an urgent debate on racism on behalf of African nations.
A group of African states presented a draft resolution on Tuesday calling for an worldwide commission of inquiry into abuses resulting in deaths of black people in the United States.
"You in the United Nations are your brothers and sisters' keepers in America - and you have the power to help us get justice for my brother George Floyd", Floyd said.
"If we started talking about what their police do - I mean, you know, for heaven's sake!" "I'm asking you to help me", he added. He said the public reaction in the USA following this tragedy showed the American people's desire to overcome racial injustice.
But it has been heavily watered down after stark opposition from the U.S. and some of its allies to an initial text presented on Tuesday.
George Floyd's brother is expected to address the council by video link.
The executive order, Bremberg said in a statement, was "an example of how transparent and responsive our government leaders are in holding violators accountable for their actions and reforming our own system".
The debate was called for following unrest in the United States and elsewhere over George Floyd's death in police custody.
Okaniwa Ken, ambassador of Japan's Permanent Mission to the International Organizations in Geneva, said it is essential that countries, including Japan, strive to eliminate racial discrimination, and that the international community encourage these efforts.
"We have to break old patterns of failure", he said.
"Sadly, there are too many places in the world where governments commit grave violations of human rights and practice systematic racial discrimination while many of those assembled in Geneva are silent".