Ganaron nuestras ganas is a captivating phrase that literally translates to "our desires won." It's a more poetic and active way to express that their mutual desires or urges took over.
In the context of the song, it signifies the moment when the initial hesitation or uncertainty gives way to the strong pull of attraction and the desire to be together. It's a memorable phrase that encapsulates the turning point in the romantic encounter described in the lyrics.
"La Noche" is Danny Ocean doing what he does best: turning one unplanned night into an entire song. Two strangers feel like old friends before the first verse is over. "Somos dos extraños, un ambiente" ["We're two strangers, one setting"], he sings, then immediately asks, "¿Por qué siento que ya te conozco?" ["Why does it feel like I already know you?"]. Nothing has happened yet; he's only imagining it. "El reflejo de la luna en tu piel" ["The moon's reflection on your skin"] is as far as his mind has gone, and that's the whole appeal: not knowing where the night ends up.
Then the clock starts working against him. "La noche se nos va" ["The night is slipping away from us"] is the line he keeps circling back to, half plea and half countdown, and every request that follows stays small and specific. "Dame la oportunidad" ["Give me the chance"]. "En mi puedes confiar" ["You can trust me"]. "Solo un beso y ya" ["Just one kiss, that's it"]. By the time he gets to "Ganaron nuestras ganas" ["Our own wanting won"], he's stopped asking outright; her green eyes already gave him "la verde" ["the green light"], and he just needed her to catch up to what the night had already decided.