Created especially for the film Midnight Express, Alan Parker, the director of the film, explicitly asked Moroder for a song in the style of "I Feel Love", which Moroder composed for Donna Summer. It was Moroder's first time composing a movie soundtrack. Although a disco piece, "Chase", along with "I Feel Love", is more specifically considered the pioneering introduction of the hi-NRG genre, which came to prominence in the early 1980s. The music was arranged by Harold Faltermeyer under the leadership of Giorgio Moroder. A remix of the song, credited to Giorgio Moroder vs. Jam & Spoon and renamed "The Chase", was released in 2000 and had a positive commercial performance, charting in several countries.
The song was used as the entrance theme for the professional wrestling tag team, The Midnight Express during the 1980's and 1990's, although their name nor their characters were not based on the movie.