Thomas Tuchel's side had plenty of chances but couldn't deliver the knockout blow in a hard-fought clash at Elland Road.
The Blues remain in fourth place and fifth-placed West Ham are just three points behind them with two games in hand as the race to qualify for the Champions League looks set to go down to the wire. Tuchel is now unbeaten in 12 matches in all competitions since replacing the sacked Frank Lampard in January. With clean sheets in their last five games, Chelsea have conceded only two goals in that period. However, their goal-scoring issues under Tuchel resurfaced as opportunities came and went in the Yorkshire rain. They have yet to score more than two goals in any match in the Tuchel era.