The African Union began its mediation efforts two weeks ago, which included 11 online sessions to break the deadlock over the filling and operation of the Ethiopian "Renaissance Dam", which cost $ 4 billion to build.
The dam is the cornerstone on which Ethiopia builds its ambition to become Africa's largest electricity exporter, but at the same time, it fuels Cairo's fears of pressure on water supplies from the Nile.
The Ethiopian Foreign Ministry said on Tuesday that "the unchanging demands and the additional and excess demands from Egypt and Sudan prevented reaching an agreement to conclude the round of negotiations."
The Ethiopian Foreign Ministry did not give details, but added that Addis Ababa was ready to show flexibility as the talks continued.
The Egyptian Ministry of Irrigation said on Monday that the three countries will report on the talks to the mediator Cyril Ramafusa, President of South Africa and President of the African Union, who is preparing for a new mini-summit.
The Egyptian Foreign Minister, Sameh Shoukry, stated that the desired goal is to reach an agreement.
For his part, Sudanese Information Minister Faisal Saleh said that the issue should be resolved through dialogue and that it is necessary to reach a just solution to limit the negative effects of the dam.
The three countries were expected to sign an agreement in Washington in February, but Ethiopia was absent from the meeting and only Egypt signed the agreement.
The dam is built about 15 km from the border with Sudan on the Blue Nile, the main tributary of the Nile.
Sudan and Egypt are seeking a legally binding agreement before filling the dam, which Ethiopia says it will embark on this month, taking advantage of monsoons.
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