According to The Sun, the singer insulted the Beckhams and Cole in an interview with SoFoot.
However, the 'Not Fair' star has claimed on her Twitter page that she never made those comments.
Allen said: "No, I didn't say that stuff. I've never met Cheryl, or her husband , nor David Beckham. Please don't believe that rubbish."
In 2007, Allen and Cole had a war of words, with Cole calling Allen a "chick with a d**k", but the pair reportedly resolved their differences last year.