Chelsea substitute Christopher Nkunku struck in the 86th minute to secure a 1-0 victory at Bournemouth in a game littered with a Premier League record 14 yellow cards on Saturday.
Bournemouth twice struck the woodwork and Evanilson had a first-half penalty saved by Robert Sanchez.
But Chelsea finished the game strongly and Nkunku, who came on in the 79th minute, slotted home from close range to make it two away wins out of two for the London side.
Chelsea moved up to seventh with seven points from four games, while Bournemouth are 11th with five points.
While it was not an entirely convincing display by Enzo Maresca’s Londoners who rode their luck in the first half, there were plenty of positives to take away from the south coast.
They ended a run of 17 Premier League away games without a clean sheet, gave a debut to on-loan Jadon Sancho who impressed as a second-half substitute and showed plenty of resilience.
“First half we struggled, second half we were miles better,” Maresca said. “We didn’t win many balls in the first half and you need that in this type of stadium against this team.”
Bournemouth, however, will feel hard done by as they paid dearly for failing to take their chances.
“We had more everything, more shots, more corners, but at the end what really matters is to score and they did it at the end,” said Bournemouth boss Andoni Iraola.