Negotiations on the Berlin Blockade Between Gromyko and Jessup

Negotiations at the UN in New York aim to lift the Berlin blockade. Dr. Phillip Jessup, the American ambassador, arrives to discuss a Russian proposal to end their blockade if the Western powers cease their counter-blockade. Russian UN delegate Andrei Gramaco attends the meeting. Although no confirmation is given, there is hope for a resolution to the Cold War deadlock.

What hopes were raised following the meeting?

What was the significance of the deadlock mentioned in the text?