On his lp Runaway. There were earlier versions recorded by Bobby Vee and Bobby Darin, but never released. And then there's the demo by Mort Shuman, released on a cd that goes with Ken Sharp's Elvis-book Writing For The King. See also: (Let Me Be Your) Teddy Bear.
Elvis Presley [n°1 US as (Marie's The Name) His Latest Flame]
Richard Anthony [as Sa grande passion]
Roy Black [as Ich such dich]
Dante [as La Plus jolie]
Rossini Pinto [as Procurando Alguém]
Noordkaap [as Zijn Laatste Vlam]