Bayan gasar ya yi yawon shakatawa a Amurka tare da Cliburn, kasancewa na farko Rasha shugaba zuwa ziyarci Amurka tun da Cold War ya fara. Suka yi da kuma rubuta Rachmaninoff Piano Concerto No.3 da kuma Tchaikovsky Piano Concerto No.1, wanda suka taka leda a gasar. Miliyoyin rikodin da aka sayar a Amurka. Kuma su Tchaikovsky rikodi ga RCA Victor shi ne na farko da na gargajiya LP je platinum. Daga baya, a 1972, a live yi na Brahms ta Piano Concerto No. 2 reunited Cliburn da Kondrashin tare da Moscow Philharmonic a Moscow. RCA Victor a karshe fito da studio, tare da rikodi na Rachmaninoff ta Rhapsody na Amurka a kan wani farko CD. A lokacin wannan shekara, ya kuma koma zuwa Rasha a matsayin darektan zane-zane a matsayin darektan rikodi na No.4 na Moscow Symphony Orchestra.
Shekara ta 1975