Mr. Hamdok, an experienced administrator and British-trained economist, is visiting Washington this week, where he is, among other things, asking the administration to drop Sudan from the State Department’s list of state sponsors of terrorism.

The potential removal of Sudan from the list would continue to be a consideration, a State Department official said, and the move to install ambassadors suggests the department may comply, which would leave only three countries on the list. The others, Iran, Syria and North Korea, have no diplomatic ties with the United States. The terrorism designation means that restrictions remain on foreign aid and military sales.

Mr. Pompeo was in Lisbon on Wednesday to meet with Prime Minister Benjamin Netanyahu of Israel, so David Hale, the third-ranking State Department official, spoke with Mr. Hamdok instead. Among the topics of discussion were a political road map for South Sudan, which broke away from Sudan in 2011, and efforts to establish “peace between the government and Sudan’s armed opposition groups,” the State Department said in a summary of the meeting.

In 2017, the United States lifted a number of sanctions against Sudan, including general restrictions on trade. Penalties related to the conflict in Darfur are the only financial sanctions that remain, said the State Department official, speaking on the condition of anonymity so as not to override the department’s official statements about the visit.

Mr. Hamdok also met with members of the House Foreign Affairs Committee on Capitol Hill. The committee said in a statement afterward that in discussing the terrorism designation, lawmakers “raised lingering concerns about the need for financial transparency within the security sector and about remaining elements of the old regime who may still support international terrorism.”