The invention relates to an apparatus (1 1) for processing fruit or vegetables in order to obtain a flowable mass, such as juice or puree, comprising: a receptacle (2) an extraction unit (3, 8 3, 5) for mechanically extracting juice and pulp from said fruit or vegetables, said unit (3, 8 3, 5) being located within said receptacle for discharging said juice and pulp into said receptacle (2) a motor unit (4) drivingly connected to said extraction unit (3, 8 3, 5) an outlet unit (7) for collecting flowable mass from said receptacle (2). According to a first aspect, the extraction unit comprises a strainer (3), preferably having a cylindrical shape, located within said receptacle (2) and rotatable about a strainer axis (X3) by said motor unit (4) a citrus mill (5) rotatable about a citrus mill axis (X5) by said motor unit (4), said citrus mill (5) being located within said strainer (3). According to a second aspect, the extraction unit comprises a cylindrical strainer (3) located within said receptacle (2) and rotatable about its axis of symmetry (X3) by said motor unit (4) a flexible element (8) located within said strainer (3) and urged against the inside surface of said perforated side wall (3b).