Convénceme means "convince me." It's a strong, imperative verb that drives the entire song, as Ricardo Montaner repeatedly pleads for his beloved to persuade him of fantastical and romantic notions.
This word is central to the song's theme of escaping reality through love, making it highly engaging and memorable. It's not just a common verb; it encapsulates the yearning and desire for belief that permeates every line.
Ricardo Montaner turns romantic doubt into a game of make-believe. He asks his lover to convince him that impossible things are true — that "la luna es roja" ("the moon is red"), that her cheeks "son de queso" ("are made of cheese"), that "venden arcoíris importados" ("they sell imported rainbows"). The absurd images pile up because the real question underneath is simple: can she convince him love is worth more than routine, more than the office waiting for him in the morning?
By the chorus the game turns serious — "Convénceme de ser feliz... Convénceme de no morir" ("Convince me to be happy... Convince me not to die") — and the fairy-tale logic becomes a plea to believe in something bigger than daily life, ending on "Convénceme que el cielo existe" ("Convince me that heaven exists").