Cuba and the United States have wrapped up a third round of talks on normalizing ties, Havana said Tuesday, praising the "professional climate" and saying more meetings would follow.

"At the end of the meeting, which took place in a professional climate, both delegations agreed to maintain communication in the future as part of this process," the Cuban foreign ministry said in a brief statement.

Little information was made public from Monday's closed-door talks between Roberta Jacobson, the top US diplomat for Latin America, and Josefina Vidal, Cuba's top diplomat for US affairs.

Unlike the previous two rounds of talks since the old Cold War enemies announced a historic rapprochement on December 17, no press conference was held.

State Department spokeswoman Jen Psaki said Monday that officials wanted to hash out the nuts and bolts away from the limelight.

"I think their focus is on rolling up their sleeves, and having tough discussions, and getting the work done," she said.

The United States is keen for both sides to reopen embassies in each other's capitals ahead of the Summit of the Americas in Panama on April 10-11.

But the communist island has insisted it first be removed from the US blacklist of state sponsors of terror.

The two sides also have to iron out a number of other issues, such as compensation for American property nationalized after the Cuban Revolution, freedom of movement for diplomats and the trade and financial embargo the United States has imposed on Cuba since 1962.

Relations have also been strained by tensions over Venezuela, a key Cuban ally. Havana leapt to defend Venezuelan President Nicolas Maduro's government after President Barack Obama last week imposed new sanctions on top officials accused of an opposition crackdown.

The two sides are next due to meet in late March, when they will address the delicate issue of human rights for the first time.