The present invention concerns the production of a milk-based alternative product, using edible oil to substitute at least part of the milk fat. In particular, the present invention concerns the production of a cheese alternative product, an ice cream alternative product, a custard alternative product or a chilled or frozen dessert alternative product, using an edible oil to substitute at least part of the milk fat. Further, a milk based alternative product, in particular a cheese alternative product, an ice cream alternative product, a custard alternative product or a chilled or frozen dessert alternative product, and the use of an edible oil, in particular olive oil, for the production of the milk-based alternative product are disclosed.
