The recording session of Frida took place at EMI Studios, Stockholm, not to be confused with another studio of the same name based in London, England, currently known as Abbey Road Studios, on 8 September 1970 and was completed in 15 January 1971. Min Egen Stad [My Own Town] was recorded on 12 July 1971, and was completed 11 days later.
By the time of the album's release, Lyngstad had been signed to EMI, for four years, since she won a song contest titled 'New Faces' and appeared on a Swedish television show, 'Hylands Hörna' (Hyland's Corner), in September 1967. Not long after the release of the album, in 1972, Lyngstad did not renew her contract with EMI, and was signed to Polar Music to record her first single for the independent Swedish record label, and eventually team up with Andersson, Björn Ulvaeus, and Agnetha Fältskog to form ABBA. As a result, it is the only album Lyngstad has recorded, under her contract with EMI, as she has made non-album singles between 1967 and 1972.
The album received unanimously generous praise from the critics, who especially noted the precision and versatility of Frida as a vocalist. For example, Sweden's biggest morning paper Dagens Nyheter (Daily News) wrote: "Professional, sure and certain LP-debut...low key but self-sure personality with sprinkles of both temperament, humor and tenderness. And she sings in this way that you understand she´s got something between her ears - she sings with others words in a very intelligent way". The album was also re-released the following year as she had her first number one, "Min Egen Stad" in the Swedish weekly record chart Svensktoppen on 24 October 1971, consequently adding this song as the opening track of side two of Frida. This version of the album was later given a third release in 1974, as a compilation under the name EMI:s Stjärnserie Vol. 7 [sic] (EMI Star Series).
^ abcWhile Carl Magnus Palm's source indicates that all ABBA members contributed to vocals, the original EMI Columbia issue of the album, Frida, does not indicate the credits of the ABBA members (with the exception of Benny, who, according to the credits, contributed only in playing the piano, and producing the album.) on vocals.