Speaking at a press conference before the taping, Abdul told The Hollywood Reporter, "This is a brand new adventure... We have a whole new approach."
The forthcoming The X Factor is a new version of Cowell's hit U.K. show, and Abdul, who served as a judge alongside her pal on American Idol for six years, is excited to reunite with the mogul.
She says, "I really miss him - it's awkward and wonderful at the same time."
Reid adds, "(Cowell) said putting together a panel of host and judges is like seating a great dinner party. He says he's very good at it and I believe him."
The Opposites Attract hitmaker has reportedly been released from her contract for TV series Live to Dance to appear on The X Factor.
Meanwhile, Pussycat Doll Nicole Scherzinger and Welsh TV personality Steve Jones have been confirmed as presenters of The X Factor, which will debut in America later this year (11).