Cairo has long expressed fears that building the dam will threaten water supplies that have fed Egypt’s agriculture and economy for thousands of years.
Ethiopia however hopes the Grand Renaissance Dam will help make it Africa’s biggest power exporter, and has played down fears that it will threaten Egypt’s water supply.
The North African country in December sought help from the United Nations in the resolving of the row with Ethiopia.
Egyptian President Abdel Fattah al-Sisi is in Addis Ababa for the 30th African Union Summit, as is Sudanese President Hassan Omar al-Bashir.
Earlier this year, President el-Sisi said that his country would not go to war with her neighbours over the dispute, saying a solution would be found in due course.
Ethiopian Prime Minister Hailemariam Desalegn traveled to Egypt on 17 January for talks, but no substantive solution was reported.
The three leaders are expected to seek an amicable solution to end the dispute that has lingered for the past year.
