As noted, the conversation was initiated by the American side.
"A thorough exchange of views was held on ensuring strategic stability in the context of the upcoming meetings of Russian-American working groups on military-political issues," the statement said.
In addition, the parties touched on issues of conflict resolution in certain regions of the world, including the situation in Afghanistan, Libya and Syria.
They also discussed "some other pressing issues on the international agenda and the problems of the bilateral sphere of relations."
Pompeo said earlier that the United States is pleased to be able to assist Russia in the fight against the coronavirus pandemic.