The draw means the South Americans finish top of the group and will look forward to the second phase with confidence, even though this could present them with an earlier-than-expected clash with the closest rivals for their world number one status, Spain.
Didier Drogba's excellent finish from Yuri Zhirkov's cross put Chelsea ahead and they seemed on course to end the first phase of their assault on the Champions League with a victory until Apoel substitute Nenad Mirosavljevic raced clear to equalise with three minutes left.