Deoleo SA Wednesday said private-equity firm CVC Capital Partners presented the best of several offers for a controlling stake in the Spanish olive-oil producer, in a bidding process completed last week.

CVC is offering €0.38 per Deoleo share, the company added in a regulatory filing, which compares with a €0.43-a-share closing price in Madrid's stock market Tuesday. The offer values the company at €438.8 million.