It's hard to find MITTS for a 3 year old who doesn't need mittens anymore. I ordered these gloves which indicated they were size 2 to 4 years old. They are big for my tall tall 3 year old so I doubt they will fit a 2 year old. The material is just two layers with a black felt lining and a water repellent material (I ordered blue) on the outside. Later I no longer feel isolation. They are NOT waterproof and are only waterproof for about 30 minutes outdoors before moisture begins to seep through the thread seams. They're better than those $1 cotton gloves, but not worth the price tag from Revain. If you pay around 10 euros for a pair of children's gloves, you expect better quality.
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