Saturé literally translates to "saturated" or "full." While it can refer to something physically full, it often carries a more nuanced meaning of being overwhelmed or at capacity.
In this song, it appears in the context of a voicemail message: "la messagerie de votre correspondant est saturé" (your correspondent's voicemail is saturated/full). This word is interesting because it's not just about being full, but implies a point of overflow or being unable to receive more, which metaphorically reflects the emotional state of the speaker and the recipient in the song's narrative.
Ever left a voicemail you immediately regretted? This song from Monsieur Nov puts you right in the middle of a raw, emotional moment. The title, "LA DOULEUR," means "The Pain" in English, and that's exactly what you hear.
The song is structured as a desperate voicemail message left for an ex-girlfriend. The speaker has just found out she's with someone new, and he's calling to express his hurt. He confesses that he can't stop thinking about her and can't accept that their story is over. He insists that what they shared was unique and tries to convince her that her new partner is just playing with her. The message is cut off abruptly by an automated voice saying the mailbox is full, leaving his painful plea unfinished.