The striker appeared to provoke a response from Arsenal defender Gabriel, who was sent off by referee Mike Dean.
But somehow Costa, who put his hand in the Gunners player’s face more than once, escaped unpunished.
Arsenal legend Martin Keown says he would love to have played against Costa, but would not want him to sign for his side.
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Is he the kind of player you hate when he’s in the opposition line-up, but adore if he’s playing for your club?
Could you defend his antics if he was scoring goals for you?
And does he go too far?
Let us know - email [email protected] or leave a comment on the story to give us your take on the Spanish star’s behaviour.