Extrañarte means "to miss you." While "to miss" might seem like a common verb, the Spanish verb extrañar carries a deeper sense of longing and absence than a simple English translation might convey.
In the context of this song, the singer repeatedly emphasizes, "En verdad lo único que hago es extrañarte" (Truly, the only thing I do is miss you). This highlights the profound impact of the person's absence and the constant yearning the singer feels, making it a central and emotionally resonant word in the lyrics.
Rodrigo Tapari's "Dame Tu Mano" is a heartfelt plea from someone deeply missing a past love. He opens by telling us, "desde que te fuiste, yo estoy tan triste" [since you left, I am so sad], and admits that all he wants is to hug them. He feels incredibly lonely, saying, "me siento solo" [I feel alone], and believes that this loneliness is exactly what the other person wanted when they left.
He desperately asks for a second chance, singing, "dame tu mano para así volar como lo hicimos estar enamorados" [give me your hand so we can fly like we did when we were in love]. He's confused about how they could forget all the love they shared, asking, "cómo pudiste olvidarte todo lo que nos amamos?" [how could you forget all the love we had?]. It's a really emotional song about wanting to rekindle a lost romance and struggling to understand how the other person moved on.