Lord Sugar, who will be guest editing the Radio Times magazine ahead of the new Apprentice series this month, couldn't help but continue his ongoing Twitter feud with the former Mirror editor and ex-Britain's Got Talent judge.
He taunted on Piers on the social networking website: "@piersmorgan yes I am the editor. Got any tips how I can fake the front page. I'm thinking of someone doing a pee on model of your head."
And Lord Sugar added: "Thinking of altering format of Apprentice. Instead of sending candidates to loser cafe,force them to watch @piersmorgan DVD "Me and my ego" [sic]”
The Apprentice 2012 returns to BBC One in just a few weeks' time, kicking off at the end of the month.