Bournemouth were disciplined and unsafe at Stamford Bridge, but second-half goals from Pedro and Eden Hazard ensured Maurizio Sarri's men became just the sixth Chelsea side to win their opening four Premier League games of a season; four of those were crowned champions in May.
The two managers have known each other for a few years - a friendship that began when Howe approached then-Empoli boss Sarri about coming to study his team. We go to Chelsea and we know how hard the game is going to be. "He is a very interesting young coach", the Italian said of Eddie Howe.
Speaking to the BBC after the game, Maurizio Sarri reflected: "I'm really very happy with my players". Last week, the Blues pulled out a 2-1 win at Newcastle, which included Eden Hazard converting a penalty to aid the effort.
The result keeps Chelsea on par with Liverpool at the top of the Premier League, while Bournemouth suffered their first defeat despite a battling defensive display.
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Maurizio Sarri has hailed Marcos Alonso as the best left-back in Europe and believes the Chelsea defender will be regarded as the best in the world if he improves. "They defended very aggressively and the situation was not so easy".
Benching the Spanish global deprived Chelsea of their killer instinct in the final third, a point Pedro made seven minutes after he came on for Willian when he jinked onto his right foot and guided a precise shot into the far corner.
Sarri's side had offered signs of their strengths and weaknesses and were again fortunate to escape 12 minutes into the second half when Nathan Ake missed another clear chance, spooning over from just four yards following a corner.
Next up for Chelsea is Cardiff City and the Blues will look to continue their flawless start to the campaign.