KFC has cooked up another free offer to promote its grilled chicken. Only this time, it promises, without the unwanted side of rainchecks.

KFC's latest freebie will be minus Oprah Winfrey's star power from a May giveaway. And KFC President Roger Eaton promises there won't be any of the problems when a free grilled chicken coupon on Oprah's Web site overwhelmed the chain and some outlets ran out of chicken.

The freebie is set for one day only this Monday, when more than 5,000 KFCs will give every U.S. customer a free piece of grilled chicken.

This will be the third time in six months that the chain is offering a giveaway to promote the chicken that debuted nationally last spring.