According to its sheet music, "Edge of the Ocean" is set in the time signature of common time, and has a moderate tempo of 96 beats per minute. The song is composed in the key of D-flat major and it follows the setup of an instrumental intro, followed by two verses, each succeeded by a chorus and another intro. The first verse begins using the chord progressions of G♭–E♭m–D♭–G♭, which are replicated during the other verses and choruses; during the pre-chorus and bridge, the progressions transition to a E♭m–D♭–G♭–G♭ structure. American musicians Jeremy Freeman and fellow Paco member Michael Hampton are credited with providing additional loops and sounds to the song. The lyrics to "Edge of the Ocean" are rather simple, and were described as romantic. Durand opens the song explaining: "There's a place I dream about / Where the sun never goes out"; the chorus contains more minimalistic lyrics, with Durand harmonizing to "sha la la la la la la" repeatedly.
