The Daily Mail says Drogba approached a leading club official in the tunnel area at White Hart Lane and expressed his frustrations with the decisions that rocked the club's title aspirations.
Drogba was particularly upset by the timing of Joe Cole's substitution. The Chelsea winger had scored a wonder goal that seemed to have won the game for Grant's side and he had clearly been the best player on the pitch.
Drogba spoke to assistant manager Steve Clarke as the players left the field on Wednesday night and demanded to know "what was going on?"
That continued when he walked down the tunnel and he sought a leading club official for an explanation on how the club had "thrown away" maximum points.