Frida ensam opens with Lyngstad's Swedish solo version of "Fernando" which was not released as a single in Sweden, so that those who wanted it had to buy the album.

The English version, with completely different lyrics by Björn Ulvaeus, presents a vision of nostalgia for two veterans reminiscing in old age about a lost battle in which they participated.

With the exception of "Fernando", all the other songs are cover versions, showing Lyngstad's and Andersson's fairly eclectic taste in music.

Besides dramatic Italian ballads like "Anima Mia" and "Vado Via", the album includes Lyngstad's interpretations of 10cc's "The Wall Street Shuffle" and David Bowie's "Life on Mars", sixties hits like The Beach Boys' "Wouldn't It Be Nice" and Gary Puckett & The Union Gap's "Young Girl", the country and western ballad "The Most Beautiful Girl", "Send in the Clowns" from Stephen Sondheim's musical A Little Night Music as well as the Greek folk song "Siko Chorepse Syrtaki" and "Som en sparv" (with lyrics by Swedish poet Barbro Hörberg) originally recorded by Swedish band Wasa.

For example, British Melody Maker wrote: "The album portrays Frida as a very strong and emotive singer and shows the true value of the music, that if sung properly and with enough feeling it transcends all language barriers".

The hand-painted sleeve was deemed by one journalist to be "so sensual, it could make the Leaning Tower of Pisa stand to attention."

A digitally remastered version of the album was released by Universal Music in 2005, including two bonus tracks; the A and B-sides of Lyngstad's debut single for the Polar Music label, both Italian schlager hits with Swedish lyrics by Stig Anderson and both produced by Andersson and Björn Ulvaeus.