Big Four Nil

This isn't a quiz question because I don't know the answer, but when was the last time that Arsenal, Chelsea, Liverpool and Manchester United all played on the same day, (and not against each other) and none of them scored?

Update: The last time the above four teams all played on the same day and failed to score was in 1922, and the last time they all played on the same weekend and failed to score was in 1993. Thanks to my son for his excellent research!