The meeting caps Mr Karzai's three-day trip to Washington that included talks with Defence Secretary Leon Panetta and Secretary of State Hillary Clinton.
"There is a sense of resigned expectation on the island because no one really knows how Cuba is going to get out of this hole, " Eusebio Mujal-Leon, a Cuban-born professor now based in Washington, told Reuters news agency.
Long affiliated with the Cardiovascular Research Foundation and the annual TCT interventional cardiology meeting, Moses played a key role in bringing CRF leaders Martin Leon, Gregg Stone, and others to Lenox Hill from the Washington Hospital Center.
Mr. Karzai arrived in Washington earlier this week and while in town also met with Defense Secretary Leon Panetta and Secretary of State Hillary Clinton.