When this weekend is over Burnley will likely be among the bottom three teams in the league.
Wins over Sunderland, Leeds and Wolves showed they are capable of beating fellow promoted sides or relegation-threatened teams on their day, but questions remain about their underlying quality, particularly in both boxes, given their other results.
Burnley conceded late goals against Manchester United and Liverpool earlier in the season but were well beaten on Saturday.
Chelsea dominated after Burnley failed to capitalise on a bright start in front of their own fans.
Anthony was too ponderous when presented with chances to shoot and saw two efforts blocked, while crosses failed to find their mark and Flemming blazed his only chance over.
It was a familiar story for Burnley, who played well at West Ham before the international break only to succumb to set-piece goals.
Flemming had been on a run of three goals in four matches beforehand, but there appears to be a lack of firepower at the Lancashire club.
That lack of quality may ultimately mean Burnley are relegated again despite their best efforts under manager Scott Parker.
Burnley had a few penalty shouts, including when Chalobah placed his hand on the ball after Sanchez passed it to him following a restart, then passed it back to Sanchez.
Parker said: “At the time I didn’t even notice. I have just seen it back.
“It does look like a penalty. I remember one last year being given – Tyrone Mings. The ball’s live – keeper has rolled it. You could tell by his next action that the ball’s live.
“I’m not sitting here being critical, but I suppose that is why we got VAR. I don’t know whether they looked at it.”
