From AP

US Secretary of States Hilary Clinton has met with the new Egyptian Islamist President today in Cairo. Clinton's talks with Morsi at the presidential palace kicked off a series of high-level meetings aimed at stabilizing Egypt's democratic transition and its alliance with the United States, once rock-solid but now increasingly shaky.

They didn't shake hands, at least publicly, and their initial greeting was the subject of speculation because of Morsi's Muslim faith.

She is scheduled to meet with the head of the military council, Field Marshal Hussein Tantawi, and the foreign minister, Mohamed Amr. In her discussions, Clinton was expected to stress the need for Egypt to adhere to its 1979 peace treaty with Israel, while also seeking continued counterterrorism cooperation and offering U.S. support to help Cairo regain control of the increasingly lawless Sinai Peninsula— a major security concern for Israel.

Source AP