The Spain international received the first red card of his Blues career after a flare-up with Toffees midfielder Gareth Barry, although the FA has acted because of his behaviour after being shown a second yellow card at Goodison Park.
Costa has become accustom to negative headlines during his time with at Stamford Bridge, so here is a closer look at five of his famous bust-ups.
1. Stamping on Emre Can
Costa was given a three-match ban after being found guilty of violent conduct during a League Cup tie with Liverpool. The FA deemed he stood on Emre Can and then-manager Jose Mourinho cited a television campaign about "Diego Costa's crimes" as a reason for the ban.
2. Angering Arsene Wenger
Arsenal boss Wenger has been infuriated by Costa twice this season. Most recently he accused Costa of getting Per Mertesacker sent off when the Blues won at the Emirates, coming on the back of an even fierier game at Stamford Bridge.
On that day, Costa got away with lashing out at Laurent Koscielny with Gunners defender Gabriel Paulista then sent off for taking revenge of his own. The FA then overturned Gabriel's ban but gave Costa a three-match one, but not before he had helped Chelsea to the points.
Wenger said that Costa's ban had only "repaired five per cent of the damage".
3. Celebrating an own goal
Everton manager Roberto Martinez told Costa he was childish after he taunted own-goal-scoring Seamus Coleman. The defender put through his own net as Chelsea won 6-3 at Goodison Park in August 2014 and got up from the floor to see Costa celebrating his misfortune.
"Reacting after scoring a goal and making fun of a disappointing action, that's not a reflection of the class that he has," Martinez said. "He's a top player and he's been a top player for a while. He has had to fight a lot for what he's got. I think his career deserves a lot of credit, so it's a real shame when you've got a childish reaction like that."
4. No red card at Sunderland
Costa left Sunderland's Stadium of Light with just a yellow card in November 2014, despite appearing to kick out at John O'Shea having already been booked for catching Wes Brown with a flailing arm.
''Why do you speak all the time about Diego? I don't agree, I don't agree. I was just told that he was unlucky to get the yellow card," Mourinho said.
5. Fighting with his own team-mates
Costa was involved in a training-ground flare-up with Oscar earlier this year, the former reacting to a challenge from the latter with team-mates having to help defuse the situation.
''It was a pity that our photographer yesterday had a day off because he could have shot beautiful pictures of two bulls who were chesting a bit after a charge from behind from the smallest bull of the two, which was Oscar,'' boss Guus Hiddink said.