The Everton boss called out the 25-year-old for appearing to goad Seamus Coleman after the Irishman's own goal and attempting to buy cheap free-kicks
Roberto Martinez believes Chelsea striker Diego Costa must learn to show respect for his opponents if he is to adapt to life in the Premier League.
Costa scored twice as Jose Mourinho's men ran out 6-3 winners over Everton after a frantic encounter at Goodison Park, and has now netted four times in his first three games in a Blue shirt.
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After the match Mourinho suggested the Everton players had tried to get Costa sent off, but Martinez believes the 25-year-old has a lot to learn about the culture of the English game.
"I think there are certain foreign players who, when they come to the Premier League, need to understand the ethics and it's a completely different culture," Martinez told reporters.
"The last thing you want to be is disrespectful to another player even if it's in the opposing team. I'm sure he'll learn that very quickly.
"The behaviour on the pitch is quite unique in the British game. There is a real professionalism in the league and a real respect.
"You can understand why the players weren't happy with [Costa's apparent goading of Coleman], in the same way he was trying to buy free kicks with the way he was playing.