I sympathise - I think what you have here is bureaucratese rather than English.
The first problem, as you say, is that the structure is ambiguous -- who is practising, and does the "in a number of projects" attach to "others" or "element"? Then "competence element", which if we understood it might help us disambiguate, is not a recognisable term to most of us. The 'default" rule in English is that modifiers attach to the most recent possible antecedent, which here would be "others" for "practising" and "element" for "in .. projects", but that doesn't seem to make a lot of sense. My best guess is something like what Jake said, i.e., the candidate has done whatever it is they are supposed to know about while managing other people.