All my experience with Alitalia is they do weigh all checked luggage. Sometimes they even weigh luggage that otherwise is cabin size and require checking it. But what happens in Amsterdam I don't know for sure.
I always assume that my cabin baggage will be weighed, and I own a portable scale thing to weigh it on, but have never found it necessary to travel with it. If you are concerned that yours may be overweight for this flight (different contents from when you arrived?), and have a means of redistributing items to pockets or about-to-be-checked-in hold baggage (or companion's hand luggage) if it does turn out to be over, you can usually find an empty check-in desk to weigh it at the airport before you go to the check-in desk for your flight. Then you can adjust its contents before checking in.
If you are prepared to risk it and pay for it if necessary, you can just take a chance on it being weighed at check-in - or subsequently: these days, some airlines do additional checks at the departure gate, although that is usually on dimensions rather than weight (and they ignore plastic bags acquired at the airport),Edited: 13 April 2013, 18:26
Assume your luggage will be weighed and be mindful that your luggage dimensions conform with European standards - You may be required to place your luggage in a bag gauge.
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