Set the watermelon on its side (stem end facing left or right) and cut off a small, flat piece of rind from the bottom so the watermelon is stable. Wrap a piece of thin masking tape horizontally around the watermelon about 1/2 inch above where the stem was. Wrap 2 more pieces over the top at the center to make a band/handle for the basket that is 1 1/2 inches wide.
Using the tape as a guide, cut out the wedges that remain on either side of the handle to make a basket shape, down to the horizontal tape. Scoop out 4 cups of watermelon balls using a melon baller and reserve. Remove the remaining watermelon flesh and save for another use. Use a paring knife to trim the flesh from the handle to create a small, neat strip of melon. Use a spoon to do the same for the inside of the basket. Freeze the basket for at least 3 hours. Refrigerate the watermelon balls.
Put 3 cups of the watermelon balls in the bottom of the basket. Scoop balls of sorbet and arrange on top of the watermelon. Decorate with the remaining watermelon balls. Serve immediately or put back in the freezer until serving, up to 1 hour.
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