I called Chrysler in the USA to ask about using 0W20 in my Jeep Liberty calling for 5W20. I actually called Chrysler Corp and not the dealership. I was told and I quote: "use only 5W20", 0w20 was not acceptable according to them, this was in Feb 2009 when I called.
If his Jeep says 5W20 on the fill cap, and is 2008 or newer Chrylser Corp will tell him to get the 5W40 out of the engine, unless Greece has different specs for that engine. I would not tell them the dealer installed it until after I asked the question, then I'd drop the bomb. This way they will answer honestly.