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Halve the melon, remove the seeds, cut into thin slices and peel. Peel the shallots and cut into very fine slices. Arrange the melon slices and ham on four plates, and top with the sliced shallots.
For the vinaigrette, mix both vinegars with a little sea salt and pepper, then stir in the oil. Drizzle the melon slices and ham with the vinaigrette, and sprinkle with the basil leaves. Serve with slices of baguette.