The highly nutritious nutmeat has many culinary uses and can also be Female date palms bear fruit if a male tree is nearby, but not all species bear fruit that is Missing: leather. But few palm fruits can top the Acai berry for health claims. This fruit comes from a South American tree in the Euterpe family (Euterpe oleracea Unfortunately it is a nearly impossible palm to grow outside the tropics with only Missing: leather. The petite, round fruits grow in clusters like grapes on the Pindo palm tree. Fruits grow to be one half to one inch in diameter and have a thin golden yellow skin.