Hi Salty! Were they somewhat crescent moon shaped? In Japanese restos they are called gyoza. In Chinese restos they can come in round and crescent moon shapes too. They can be steamed, or steamed then fried, or just plain fried. They are called by many names too (dumplings, siumai, siomai, siaolongpao, potstickers, etc). They are basicallyl categorized as dimsum (or yamcha in cantonese) items meaning little meals.
In these parts, dimsum is everywhere. And there are countless varieties. My favorite are the steamed ones wrapped in soybean skin, or nori (the japanese seaweed sheets).
'Never eat more than you can lift.' - Miss Piggy