Errante means "wandering" or "roaming." It's a poetic and evocative word that immediately sets the tone for the song's narrative.
In "Paloma Errante," Vicente Fernández uses this word to describe a "wandering dove" (paloma errante), symbolizing a life lived without a fixed direction, peace, or protection. It perfectly encapsulates the song's theme of loneliness and a life spent searching for belonging.
Vicente Fernández really pours his heart out in "Paloma Errante"! He compares himself to a "paloma que vaga errante" [dove that wanders errantly], flying