He adopted a son, Livio Bacchi Wilcock, who translated Jorge Luis Borges' work into Italian.

Wilcock was born in Buenos Aires, the capital and chief metropolis of Argentina, to an English father and an Argentine mother.

Wilcock's first known literary work and accomplishment came in 1940 with the Libro de poemas y canciones ("Book of Poems and Songs"), which earned the Martín Fierro prize of the Argentine Society of Writers (SADE).

Soon Wilcock would see himself surrounded by some of the most prominent writer-intellectuals of the time, like Jorge Luis Borges, Silvina Ocampo, and Adolfo Bioy Casares, perhaps the most influential of the many acquaintances he befriended.

[citation needed] Juan Rodolfo Wilcock died in his country cottage in Lubriano, Province of Viterbo, north of Rome, in March 1978.