Cesc Fabregas and Alvaro Morataâ€™s first half goals were all Premier League Champions, Chelsea needed to see off Everton at the Stamford Bridge on Sunday.
The victory followed last weekendâ€™s stunning win over Tottenham at the Wembley.
Chelsea opened the scoring in the 27th minute when a quick free kick allowed Willian to play in Cesc Fabregas and the Spaniard initiated a deflected one-two with Morata before prodding the ball expertly into the far corner.
Five minutes before the break they struck again.
This time Morata scored his second goal in a Chelsea shirt nodding an inviting right-wing cross into the net from close range.
Chelseaâ€™s next match will be against Leicester City after the international break.