The title track was dedicated to Dion's little niece Karine, diagnosed with cystic fibrosis.
The album became another commercial success, reaching Gold in Canada. "Une colombe", performed by Dion for Pope John Paul II in front of 65,000 people at the Olympic Stadium in Montreal (1984) was also certified Gold.Mélanie produced two top ten Quebec singles in "Une colombe" and "Mon rêve de toujours", which peaked at number two and four, respectively. There was also a third single released - "Un amour pour moi".
The next year, Dion won five Felix Awards, including Album of the Year and Best Selling Album of the Year for Mélanie, Female Vocalist of the Year, Song of the Year ("Une colombe") and Best Selling Single of the Year ("Une colombe"). She was also nominated for the Felix Award for Pop Album of the Year (Mélanie), Artist of the Year Achieving the Most Success Outside Quebec and Show of the Year (Céline Dion en concert). Additionally, Harvey Robitaille won Felix Award for Sound Engineer of the Year thanks to Céline Dion en concert and Paul Baillargeon was nominated for Arranger of the Year thanks to "Une colombe".
In 1984, Dion released her second album in France, called Les oiseaux du bonheur, which contained five songs from Mélanie.
In 2016, "Trois heures vingt" was played as the opening processional during the funeral services of her husband and manager, René Angélil. It was also included on Dion's 2016 album, Encore un soir.