Yesterday, Ms Mohamed said Mr Ban had indicated that the final details of the repatriation would be agreed on in Nairobi next month, when Kenya hosts a meeting on the UN Conference on Trade and Development.
The meeting will also set the timelines.
Ms Mohamed said the repatriation would cost about Sh11 billion and that donors had so far only raised Sh720 million.
She said the repatriation had already started and that a total of 14,000 refugees had been flown back to Somalia.
During the meeting, President Kenyatta said the camps had been used as bases by Al-Shabaab terrorists to plan and execute attacks on Kenya.
It was also agreed that troops serving in the African Union Mission in Somalia (Amisom) would join the UN peacekeeping force, a decision that would be ratified by the five permanent members of the world body’s Security Council.
President Kenyatta delivered the African Union’s position that the UN should step in to support Amisom in Somalia with a view to converting it into a UN peacekeeping mission.
“The United Nations should consider fully supporting Amisom at all levels commensurate with similar UN peace enforcement missions as well as put in place timely modalities for the transition from Amisom to a UN mission,” he said.
Ms Mohamed said Mr Ban had also promised to take the AU’s proposal to the UN Security Council, which would make the final decision on the matter.