The 30-year-old, who is a free agent after leaving Turkish club Trabzonspor, is training with the Black Cats with a view to sealing a permanent move.
Dutch international Musampa spent 18 months on loan at City from Atletico Madrid, and joined Trabzonspor on a three-year deal. However, he is now without a club and Keane is hoping to be given permission to play him in the reserves at Liverpool next Tuesday.
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