Blackburn made a fast start at Carrow Road, and were rewarded with a goal inside the opening minute when Tom Cairney allowed a flick-on to bounce before firing the ball into the top corner from 25 yards.
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Norwich continued to respond well as the end-to-end nature of the contest created chances for both sides, with Alexander Tettey striking the post when Robinson looked beaten.
Jason Lowe gifted a route back to level terms for Norwich when he was adjudged to have used his hand to prevent a cross from reaching the danger zone, and Grabban stepped up to score the equaliser at the second time of asking after Robinson blocked his penalty.
Redmond was proving to be a productive source of creativity for Norwich, but he was once again denied a goal when a drilled effort from the edge of the box was pushed past the post by Robinson.