The title of the song in French is "Que Ça Ne Finisse Jamais" ("May it Never End") and is only available on the European edition of the album as a bonus track.

It has been remixed for clubs by the likes of Paul Andrews, Hex Hector, Messy Boys, Mousse T. and Steven Nikolas.

Estefan was nominated for the second consecutive time for a Grammy Music Award for "Best Dance Recording" with the single, but lost to Cher's smash hit "Believe".

On June 3, 2022, Estefan released the "Don't Let This Moment End" EP to all digital and streaming outlets.

Considine from The Baltimore Sun concluded that 15 years ago, Donna Summer "would have killed for a single as strong" as "Don't Let This Moment End".

[6] Ben Wener from Beaver County Times stated that the thumping 180 bpm are "yielding perfectly to the [song's] hyperactive melodrama".

[7] Larry Flick from Billboard wrote, "In its original form, the song is a sweeping, string-laden anthem that sounds like it was plucked from a DJ playlist circa 1977.

"[8] Another editor, Chuck Taylor, complimented the song as "wildly joyous with a series of immediate musical hooks", viewing it as an "inspirational ode to the beauty of that perfect moment in time".

[9] Steve Morse from Boston Globe remarked the song's "positive messages amid vintage dance beats".

"[13] Kerry Gold from The Vancouver Sun said Estefan "lets loose on her hyper-rhythmic brand of disco salsa".

[14] The accompanying music video of "Don't Let This Moment End" premiered on November 3, 1998 and was directed by Argentinian director Gustavo Garzon.