The maximum compensation for lost luggage in Europe is 1,300 EUR. I think that's also similar to the Montreal convention covering other flights. I will need to travel with two laptops and I can't fit both in a small bag under my seat. They will travel in a carry-on trolley. The airline usually forces some people to check those bags at the gate. However, that luggage contains much more than 1,300 EUR.
My question is, what happens if my luggage needs to be checked in at the gate and then it is lost? Would it be possible to be compensated for all the items inside the bag? That is about 4,000 USD?