Chelsea have had chances but were left frustrated at the half-time whistle as their Champions League Group G clash against Dynamo Kiev remains goalless at the break.
The Blues knew that a win would move them into second, and could put them top of the group if Porto failed to beat Maccabi Tel Aviv, and they came out firing in the early stages as Cesc Fabregas saw a long-range effort saved.
Jose Mourinho's side continued to press, and they came within inches of opening the scoring when Eden Hazard collected a loose ball and shifted away from a defender to curl in a low effort which was tipped onto the post well by Oleksandr Shovkovskiy.
Fabregas headed over as a Chelsea breakthrough looked more and more likely, but the hosts gave their opponents a first warning sign when Andriy Yarmolenko started a move which ended in Vitaliy Buyalskyi shooting straight at Asmir Begovic.
The Blues remained dominant, however, and after they thought that they should have had a penalty for a challenge on Fabregas, Nemanja Matic could not cap a fine run with a goal when he stabbed his finish wide of the post.
For all their attacking possession, Chelsea were struggling to create clear chances and a period of good pressure which led to consecutive corners yielded only a half chance as Shovkovskiy made a routine save from Gary Cahill's header.