The film received critical acclaim. Critics praised in particular Chalamet, Hammer and Stuhlbarg's performances, Guadagnino's direction and the screenplay. Call Me By Your Name won a variety of awards, including Academy, BAFTA and GLAAD Awards and many more. Sufjan Stevens's song “Mystery of Love” was nominated for the Academy Award for Best Original Song at the 90th Academy Awards.
Luca Guadagnino wanted the film's music to be connected to Elio, a young pianist who likes to transcribe and adapt pieces in order to get close to Oliver. The music is used to reflect the time, the characters' family, level of education and “the kind of canon they would be a part of”. Guadagnino found himself resonating with Sufjan Stevens' lyricism through his work and initially asked Stevens to record an original song. Eventually, Stevens contributed three songs to the soundtrack: “Visions of Gideon”, which was used at the end of the film, “Mystery of Love,” which was featured in the film's first trailer and a new rendition of “Futile Devices” with piano. Stevens penned the songs by using the script, the book, and the conversations with the director about the characters. It marks Sufjan Stevens' first soundtrack for a feature film.