Defender Bramble blocked a shot from Graham, Black Cats' boss Martin O'Neill's prime target for what remains of the winter transfer window, in the third minute of stoppage time to rescue a point.
The 27-year-old had been booed by sections of the home fans as he was introduced as a 74th-minute replacement for Leon Britton, but his reception as he left the pitch might have been even more virulent had Bramble not intervened.
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