Bayern Munich are facing disciplinary action due to a pitch invasion on Wednesday night. Photo: Michaela Rehle/Reuters

ZURICH – Bayern Munich are facing disciplinary action after several fans ran onto the pitch at the Allianz Arena following their 2-1 defeat at home to Real Madrid in the Champions League semi-final first leg on Wednesday.

European soccer governing body UEFA said in a statement that the Bundesliga champions had been charged over a "field invasion" by the fans plus the display of a banner containing a "message of an offensive nature" following the match.

UEFA said the case would be heard on May 31 but did not give further details.

Two of the fans attempted to take a photograph with Real forward Cristiano Ronaldo before being chased away by stewards. 

The Portuguese was unmoved by the incident as video footage showed him scratching his face and grinning.