According to the Daily Mail, the daughter of Live Aid creator Sir Bob Geldof demanded a change of tables because she doesn't get on with the band.
"When Peaches found out she was on the same table she was livid, and her people demanded that she was moved to a different table," said a source.
"The Enemy weren't impressed either but it was too late to be changed."
The Enemy's lead singer Tom Clarke criticised Peaches at last year's Glastonbury Festival and thew her out of their backstage trailer.
Speaking at the time, Clarke said: "If someone talks to me like a c***, then I treat them like one. And that Peaches nobody is exactly that. She kept coming into our trailer all high and mighty."
Peaches attended the awards ceremony with ex-boyfriend Fred Les and was reportedly spotted getting close with Horrors singer Faris Rotter later in the evening.
> In Pictures: NME Awards 2008