With Manchester City drawing 2-2 at Arsenal and Liverpool suffering a shock 1-0 home defeat by Aston Villa, Jose Mourinho's Chelsea were the big winners in the fourth round of Premier League games.
They came from 1-0 down to end Swansea City's 100 percent record with a 4-2 win for a fourth successive victory.
Diego Costa scored a hat-trick, taking his tally to seven goals in those matches.
And it is evident from his attitude in the league matches so far that Costa is ready to win physical brawls with sturdy Premier League defenders.
Two weeks ago the Spaniard had a run in with Everton goalkeeper Tim Howard and in Saturday's game, the Spaniard was constantly at war with Swansea City's defenders, while scoring his first hat-trick for Chelsea.
Chelsea maintained their 100 per cent start to the season with the Swansea win after falling behind and Costa has now equalled Micky Quinn's record of scoring in his first four Premier League games. Quinn did it for Coventry in 1992.
Ready to fight physically against EPL's quality defenders
He also said that a striker has to score and he is happy that he has a little place in history with this record, adding that he has to keep working to keep this up.
Costa told the British media said that the central defenders in England are very strong, but added that if he has to have a physical battle, then he can fight. He said that if he has to play with quality, he can do that too.
The striker said that it is not easy, but added that things are going well for the team and he is trying to do his best.
The former Atletico Madrid forward said that there are differences to the game in Spain but he is adapting well and what helps is that there are other new players also adapting.
'The squad and all the people around the team are united'
The Spaniard said that the key is the group they have, adding that it is like a family.
"The squad and all the people around the team are united in the cause and are working together and things are going very well," he added.
The Brazil-born player also said that coach, Jose Mourinho, is well aware of the strengths of the players he has, adding that he designs the style and he plans games to suit his players.
Meanwhile, Villa's unexpected win at Liverpool enabled them to jump into second place, two points behind the leaders.
Manchester United served notice that they could be contenders despite a bad start, thrashing Queens Park Rangers 4-0 for a first victory under manager Louis van Gaal with new record signing Angel di Maria grabbing the opener.