Description: Bresse Bleu cheese is a soft cheese madeĀ from pasteurised cow's milk in Bresse, Burgundy, France. The cheese with a bloomy, edible rind has a mild mushroom aroma.Ā This rich and buttery cheese is availableĀ in various sizes. Production of Bresse Bleu cheese was started with the objective of providing a milder alternative to blue cheese. It is very similar in flavor to Brie.