He has adapted to English football with ease, and he looks to have been one of the signings of the season, with his goalscoring ability topping off the fantastic performances put in by Jose Mourinho’s men early in the season.
However, the 25-year-old is said to be playing through an injury right now, and the big worry is that he will sustain a pain that will rule him out of action for a number of weeks. With the international break stalling Premier League action for a fortnight, Mourinho will be hoping that Costa returns from the Spain squad in peak fitness - so he can return to leading the Blues frontline.
Chelsea legend Pat Nevin, who has been an avid fan of the club since his spell in West London in the 1980’s, has been one of many to have been impressed by Costa, and the performance put in against Arsenal reminded Nevin of a famous former Blues star striker - Kerry Dixon.
Speaking to the official Chelsea website, Nevin said: "On the subject of Diego Costa and his myriad of strengths, this week’s goal really reminded me of one player.
"Chelsea fans of a certain vintage will remember Kerry Dixon scoring scores of goals exactly like his on Sunday. I lost count of the times I clipped it over the top for him to run on to, outpacing the defence, before expertly dispatching it either into the corner or the roof of the net."
Dixon spent nine years at Stamford Bridge, winning two Football League Second Division titles, and scoring 193 goals - making him the third highest goalscorer in the history of Chelsea Football Club. Costa has a long way to go before reaching that total, but if he continues to score in the manner that he has been, then there is no doubt that he will overtake Dixon, and maybe even the man who tops the list with 211 goals - Frank Lampard.