In a small saucepan, simmer beets in salted water; cover and cook until tender, about 20 minutes, depending on size.
Cool until lukewarm and then cut into small sticks and place in a large bowl.
With a zester or vegetable peeler, cut zest (rind) from one of the oranges and finely chop.
Mix together the chopped zest, lime juice, orange juice, salt and olive oil in a large bowl. Pour over the beets and let stand one hour.
Cut oranges into segments.
Just before serving, add most of the orange segments (save a few for garnish) to the beets; taste mixture and season with additional salt if needed.
Arrange the lettuce on a serving platter.
Scoop the salad into the center, then sprinkle with almonds and reserved orange segments. |