Burnley however changed their tactics after Cahill was sent off and it paid off in the 24th minutes when Sam Vokes netted the first goal after a wonderful cross from Mathew Lowton. Alvaro Morata, on as a second-half substitute, reduced the deficit in his first league start since a club-record move from Real Madrid for £58 million (NZ$103 million).
Cahill was sent off for a clumsy challenge on Steven Defour fifteen minutes into the match, and Fabregas was given his second yellow nine minutes before time.
Conte was without the injured Pedro and the banned Victor Moses, so Cesar Azpilicueta switched to right wingback, and Belgian Michy Batshuayi led the champions' attack.
Palace fans started the season with renewed optimism amid De Boer's appointment as manager but they will be anxious by their woeful performanc, which suggests another year of struggle.
Conte feared Chelsea were less than ready for this title defence, admitting on Friday he agreed with those who did not list his team among the favourites to win the Premier League. Little contact was made, but intent was enough for a sending off.
The Blues didn't come pouring out of the gates, either, though the hour mark saw a decent chance and shouts for a penalty as Burnley got extra chippy.
The visitors shocked Stamford Bridge when they made it 3-0 shortly before half-time when Vokes got his second of the game with a well placed header in the 43rd minute.
Sean Dyche says Burnley's 3-2 victory over Chelsea quietens down some of the doubters following an indifferent summer at Turf Moor. It was good from last season's top scorer for the Clarets, as he flicked the ball on looking away from goal, which trickled beyond the diving Thibaut Courtois and into the bottom corner.
Soon after, Vokes had a goal called offside. Our performances against the big teams were pretty good a year ago, barring Chelsea away.