The three countries though still support talks within the African Union.
There have been multiple negotiating rounds which were sponsored initially by the United States.
In February, Ethiopia rejected a draft agreement fronted by the US, arguing that it favoured Egypt.
Sudanese and Egyptian prime ministers on Saturday called for a permanent agreement on the controversial Ethiopian dam, saying that it will be the only way to end the squabble over waters of the world’s longest river.
Meeting in Khartoum, Sudanese Prime Minister Abdalla Hamdok and his Egyptian counterpart Mostafa Madbouli said the three countries should continue to negotiate for a final deal, based on the 2015 Declaration of Principles.