In 1937, Kavsadze and his ensemble travelled to Moscow, where they performed to great acclaim, winning an award. After the festival, a meeting was held in the Kremlin between the Politburo and all the festival's participants; this meeting gave rise to the following anecdote:
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The story has it that the festival's participants – singers, dancers, artistic directors, etc. – were gathered in the Kremlin's Georgievsk Hall, where they were nervously awaiting Stalin's arrival. At last, the Man Himself entered the room – A "hurrah!" resounded, but Stalin lifted up his hand to bid those gathered be silent. He looked around the room at length, clearly searching for someone. Everyone became anxious: Whom was he looking for?? What should they do?! At last, Stalin asked in a low voice "if Sandro was there." Everyone breathed a sigh of relief, and the crowd parted to form a passage: at one end, Stalin; at the other, Sandro. It was of course protocol that the person meeting Stalin should walk up to him, but Sandro didn't move – a clear slight to the Great Man. They stared at each other for a few seconds, surrounded by the stunned crowd. Stalin then took the first step, followed by Sandro, and they met in the middle of the room, and embraced each other. "You have not changed," said Stalin, giving Sandro a pat on the back. Sandro remained silent, and patted Stalin on the back. "Indeed, you have not changed," repeated Stalin, patting Sandro on the back again. They conversed in low voices, Stalin asking Sandro if there was anything He could do for him? "Give me your pipe," said Sandro – The pipe has been a Kavsadze family heirloom ever since.