According to Griffiths, when Soviet troops suppressed the Hungarian uprising in October 1956, Davies was troubled, but refused to join in the general censure lest this give comfort to the enemies of socialism. He was to be equally silent during and after the events of the Prague Spring of 1968—in sharp contrast to his condemnation of the "criminally dangerous and irresponsible heroics" of the United States during the Cuban Missile Crisis of October 1962. In 1961, at the request of the Labour Party leadership, Davies was one of 25 Labour MPs and party members investigated by the British security services as a possible Communist Party member. The MI5 report stated that there was evidence to indicate that Davies, "if not of the Party ... is at least very close to it indeed".