UEFA could also take action against Chelsea for failing to control their players and midfielder Michael Ballack, who was so incensed by one decision that he ran 40 yards alongside the referee to protest and was eventually yellow-carded.
A spokesman for the governing body said: "We have to wait for the referee's report, which can take up to 48 hours, before we make a decision.
"Drogba could be banned for a number of matches, we don't know how many. It would be decided by a controlling body, if they decide to open the decision.
"We get the report and maybe look at video evidence and then they can take actions against specific players."