Carey co-directed the music video with photographer Indrani, which depicted the singer as a mermaid swimming around the lakes at the El Yunque National Forest in Puerto Rico.

On December 31, 2013, Carey appeared on NBC's New Year's Eve with Carson Daly show to perform some songs.

[4][5][6] An urban remix featuring vocals by American recording artist Trey Songz was also made available to download digitally on February 13.

[7] In an interview with MTV News, Carey praised Songz vocal ability, saying that most artists are not able to sing and rap while maintaining "a sound that's current yet also classic".

[8][9] Additional remixes by Fedde le Grand, Gregor Salto and Funkin Matt, and Chus and Ceballos were released on March 15.

[11] Lyrically, Carey reminisces about a past lover, singing "I can't seem to live without your love/ Suffocating here by myself/ Dying for your touch".

[12] Instrumentation consists of hypnotic, "smooth, steady" piano beat, which slowly builds to a climax with Carey hitting a whistle note for a sustained period of time at the end of the song.

[12][14][17] While Christina Garibaldi of MTV News and Jamieson Cox of Time simply highlighted that they have similar melodic structures and vocals styles,[12][14] Alexa Camp of Slant Magazine was critical of the likeness between the two songs, writing that she was disappointed to hear a "retread" of "We Belong Together" following the positively received "retro" first and second singles "#Beautiful" featuring Miguel and "The Art of Letting Go", respectively.

[11] Jamieson Cox of Time echoed Garibaldi's sentiments, writing "It's a gaseous, fluffy ballad that feels like a direct descendant of the song that rang in her mid-career renaissance, 2005's mega-hit 'We Belong Together': plinking piano melodies, a typically fluttering Carey vocal take, and a very similar beat.

[14] Melinda Newman of HitFix questioned if Carey could have achieve success with the song, describing it as "breathless" and too reliant on the singer's "vocal pyrotechnics".

She continued to write that the song would most probably not achieve any success on the Billboard Hot 100, but would find "some love" on the adult contemporary and R&B radio stations.

[18] Jeff Benjamin of Fuse compared the production of the song to Carey's previous singles "Always Be My Baby" (1995) and "Touch My Body" (2008).

[16] Slant Magazine writer Alexa Camp thought that while Carey's voice sounded good, Darkchild's production was "utterly trivial".

[17] In the United Kingdom, "You're Mine (Eternal)" spent one week on the UK Singles Chart, debuting at number 87 on February 16, 2014, just four days after being released.

[37] Carey co-directed the music video for "You're Mine (Eternal)" with Indo-Canadian photographer Indrani at the El Yunque National Forest in Puerto Rico.

[38][40] Carey explained how she created the concept for the video and the decided to being in Ingrain to direct specific scenes in a radio interview: I would say it was a directorial collaborative effort.