I am living in Italy & have a 120v crockpot from the states. I have a 1600 watt transformer & the crockpot is only 220 watts. Can I plug it into the transformer with no problems!

If it's the correct transformer/converter, and it is rated that much higher then sure. Why not.

Having lived in Italy myself... you should have no problem with this device using that transformer.

Same issues here in China, should work OK. ** I have to ask, you did check and make sure it was not dual power ? Almost every electric item I own, would work 220/120. Only a few items would not