Swiss food and beverage company Nestle SA is expecting to raise between $8 billion to $10 billion in the next round of its skin health business sale.

Nestle picked a group of private equity firms and consumer companies including U.S. investment firm Advent International, Cinven and GIC Pte, as well as KKR & Co. and EQT Partners to participate in the next round of an auction.

Other bidders in the round include Paris-based makeup giant L’Oreal SA, Unilever NV and Carlyle Group LP have also been invited for the bid.

Nestle noted that it would prefer to sell the unit as a whole, even though it’s considering a piecemeal sale if that generates a higher value.