Goalscorer Leo Trossard felt Albion could have got something for their efforts against Chelsea.
The Belgian scored on his first appearance of the season for the second year running, levelling ten minutes into the second half at the Amex.
But Reece James quickly restored Chelsea’s lead and a third goal, when Kurt Zouma’s shot took a heavy deflection off Adam Webster, sealed Chelsea’s 3-1 win.
“It was a tough game against a top-four opponent but the moments we conceded the goals were unlucky,” said Trossard.
“We made our own mistake for the first goal and the second was a one in a hundred shot. We played well, I feel we could have taken a point or even three.”
James’ strike came less than two minutes after Trossard, who scored five goals in his debut Premier League campaign, had opened his account for the season by firing into the bottom corner. He then found Lewis Dunk with a great cross but Albion’s skipper missed a simple header to make it 2-2.
“At 1-1 we needed to stay in the game longer but we conceded and it was hard to come back from that,” added Trossard.
"We had a clear chance with Dunky’s header at 2-1 and that could have made a difference but we need to take the positives. We played a top team and I thought we did well. There is a lot for us to build on in the next league game against Newcastle on Sunday.”