After I figured out the chords for "When the Night Comes" a few days ago, I had the feeling that "Is It Alright" from Balance of Power had a similar chord progression, so I figured out the chords for that too.
The chords progressions aren't exactly the same, but there are sections that are identical. The entirety of the verses in both alternate between D minor and A minor. "Is It Alright" has four measures of D minor, two measures of A minor, four measures of D minor, and then two measures of A minor; "When the Night Comes" has four measures of each: four measures of D minor, four measures of A minor, four measures of D minor, and then four measures of A minor.
(According to how the lyrics are formatted in the liner notes in Alone in the Universe, the "But what can I say when the night comes to stay" and "But where will I be when the night comes to me" sections of "When the Night Comes" are distinct from the verses and choruses.)
The beginning of the choruses in both also have the same chord progression and even the same values, but "When the Night Comes" holds each chords for twice as long as "Is It Alright." In "Is It Alright," the chorus starts with one measure of E minor, followed by one measure that's half F major and half G major (each lasting for two beats). Then that's repeated. In "When the Night Comes," the E minor lasts for two measures, then there's a full measure of F major and a full measure of G major. Then that's repeated. From there, the chord progressions of the choruses diverge.