They go into the international break sat in 3rd place and are unbeaten in their opening seven matches.
Antonio Conte’s side beat Leicester City 6-2 over the weekend.
Here is a look at the latest news and rumours coming out of the club...
Defender injury latest
The Wales international missed the Leicester clash and will sit out of his country’s upcoming games as he recovers.
Spurs dealt blow in centre-back pursuit
Tottenham have been linked with Inter Milan centre-back Milan Skriniar over recent times.
The Slovakia international has been playing in Italy since 2017 and won the Serie A title last year.
However, PSG are said to be leading the race for his signature at the moment, with reporter Fabrizio Romano writing in his column with CaughtOffside: “There’s a lot of talk at the moment of English clubs, but my understanding is that the most interested in Milan Skriniar remains … Paris Saint-Germain.
“Manchester City and Spurs have not made any proposal or approach, while Chelsea were focused on signing Wesley Fofana this summer.”
Son reacts to hat-trick
Heung-Min Son scored a quick fire hat-trick against the Foxes to help his side pick up all three points.
The attacker hadn’t scored going into the clash against Brendan Rodgers’ side.
He has told the official club website: “I came on and I just wanted to help the team. Then, the chance was there, and three amazing, lucky finishes, meant we were looking good.
“The goals are important, I just want to help the team on the pitch, I’m really happy because I helped the team.”