On the DVD David Gilmour in Concert, a guest appearance is made by Wright, who sings "Breakthrough" accompanied by David Gilmour and his band.
The song was also covered by Pink Floyd's David Gilmour in 2002 at his semi-acoustic shows in London's Royal Festival Hall; it was released on his David Gilmour in Concert DVD where he introduced the song as "this one's got nothing what-so-ever to do with me but I like it. It's by Richard Thompson and it's called Dimming of the Day."
She also performed on their appearance at the 1990 Knebworth festival and provided vocals for the album Pulse, as well as David Gilmour's 2001 solo tour.
David Gilmour performed the song at his 2001-2 semi-acoustic solo performances, as captured on the David Gilmour in Concert DVD.
A video of him recording the piece was released as an extra on his 2002 DVD, David Gilmour in Concert but the recording was never released on an album.
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Gilmour has said (as can be heard on the David Gilmour in Concert DVD) that the song was written about his wife, Polly Samson.