The Southampton loanee volleyed in Ian Maatsen's centre to open the scoring just a few minutes into the second half but Vincent Kompany's side showed their vulnerabilities late on once again, with Robinson heading past a helpless Arijanet Muric to earn the hosts a point in Mark Hudson's first game in charge.
The point leaves Burnley in the fourth position after 11 games in the Championship season.
Here are the player ratings.
Here are the player ratings.
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