SparsI means "scattered" or "spread out". It's a wonderfully descriptive and poetic word that you won't hear every day.
In the song, Gino Paoli uses it to paint an intimate picture: "I tuoi capelli sparsi sul cuscino" (Your hair scattered on the pillow). This choice of word evokes a sense of peace, closeness, and tender romance, making a simple moment incredibly memorable.
Gino Paoli's "Vivere Ancora" is a song with one single, intense focus: the desire for just one more hour with someone he loves. He's not asking for a lifetime, just a moment to hold them and "far sparire per sempre dal tuo viso / Ogni incertezza che ti tormenta ancora" (make every uncertainty that still torments you disappear forever from your face). It's a powerful wish to provide comfort and see his love reflected back at him.
From that one hour, the song expands into a vision of a shared future. He imagines them staying close, waiting for the morning light to find them "stretti abbracciati con gli occhi dentro agli occhi" (held tight, with our eyes in each other's eyes). The song ends with a total surrender to this love, repeating the idea that his destiny has completely merged with hers: "il mio destino / È diventato tuo" (my destiny / has become yours).