Khrushchev (who had famously banged his shoe at the UN two years before) delivered his answer the next morning. Instead of calling President Kennedy, the Soviet leader broke the news by radio. It was 10:04 Washington time.
Bobby Kennedy, unsure whether his discussions with Dobrynin would work, was spending time with his family. He hadn't seen much of them in two weeks. He was at a horse show, with his daughters, when the broadcast aired.
By the time Khrushchev (pictured in this link with his wife and Gromyko) concluded his message, it was clear (to those few who knew) that Bobby Kennedy and Anatoly Dobrynin had brokered a deal. The Soviet leader made no public mention of missiles in Turkey.
The terms of President Kennedy's October 27th letter would be implemented: Ballistic missiles would be dismantled and returned to the USSR in exchange for an American promise not to invade Cuba. President Kennedy called former President Eisenhower to brief him.
The question is, Mr. President: How should we regard this.What is this: A provocation?
... and warned him about continued flights over Cuba:
...violation of Cuban airspace by American planes could also lead to dangerous consequences. And if you do not want this to happen, it would be better if no cause is given for a dangerous situation to arise.