The singer, dressed in a black skirt and high heels, entered the court through a back door.
The listings showed one adoption case for today, which will be heard in private, with the child's name given as Chifundo James.
The girl, whose name has been reported as Mercy James, was born to an unmarried 18-year-old who died shortly after the birth.
She is at the same orphanage as David Banda, who was taken in by Madonna when he was 13 months old.
Madonna's kids Lourdes, 12, Rocco, 8, and David, 3, have joined her for the trip.
Her spokeswomen, Liz Rosenberg and Barbara Charone, and her lawyer in Malawi, Alan Chinula, have so far made no comment.
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