Citrus fruit pressing devices, apparatus and methods are disclosed. Several features that can reduce the incidence of rupturing oil pockets in the fruit peel can be employed to improve the taste of the juice pressed from the fruit. One feature includes cutting (307) the peel at least partly along a circumference of the fruit to reduce rupturing of oil pockets when the fruit is flattened and the surface of the fruit is folded over. Another feature includes utilizing a curved knife, which can provide a relatively deep cut and a smooth expansion of the peel. According to other aspects, juice extraction can be improved by employing one or more protrusions in a surface of the pressing element to press areas of the fruit in which the peel of the fruit is not present. Another aspect is directed to using the pressing speed to control the pulp content of the juice.