EMBA Bocconi Opinion

Usually full time MBAs are better as consulting firms go to campus and have specific processes for those MBA students. 

But... this doesn't mean that they don't want to talk to you... just means that less EMBAs target them as a potential employer. 

Honestly, I would reach out to your career services to ask for some advice, as they may comfortable in including you in the regular MBA recruiting activities (or have other ways to support you).

To conclude, yes, you should be able to pursue MBB opportunities just like any other Bocconi MBA student, and there may be a chance for you to be integrated in the full time MBA student processes / networking / trainings / meetings.