MILAN, Nov 2 (Reuters) - Italy"s competition watchdog said on Tuesday it had dropped a probe into Alphabet"s Google (GOOGL.O) alleged abuse of its dominant position in the online display advertising market after the EU antitrust started a similar investigation. The Italian watchdog decided non to take any action as under EU laws the case is now out of its responsibility, it said in its weekly bulletin. The European Commission opened an investigation in June into whether Google distorts competition by favouring its own online advertising technology services to the detriment of rivals, advertisers and online publishers. read more Reporting by Elvira Pollina, editing by Giulia Segreti