Looks a lot like a sweet potato vine.
When I tried, years ago, to grow sweet potatoes, I got a bunch of rooted cuttings from a garden center. Their usual method of providing for farmers.
My wife pots them up for each Summer here, but I gave up putting them in the garden for potatoes. Seems funny, now, but all I ever got was potato shaped hollow places, and some potato still in some spots, with gnaw marks on what was left.

It may or may not be Ipomoea batatas (sweet potato) but definitely looks like an Ipomoea of some type. (The genus also of morning glories, moonflower vines, and a myriad of others.) Their leaves can wildly change shape and size, among individuals of same type, and in phases on a same plant. I would lean toward I. batatas since it's not blooming now. Most Ipomoeas are in bloom at this time. I. batatas can bloom, but often chooses not to. The amount of sun it's getting may be affecting the status of blooms, if it's one that would otherwise be blooming now.

Is the family Asian or did the plant came from a person from the Far East?

It looks like the type of morning glory sold in the produce section in an Asian market. The leaves and stems are normally stir-fried in a Chinese kitchen.

pitimpinai - actually, yes!

And thank you guys so much! I think it is sweet potato/edible morning glory - it looks like a good match and that would make sense if it is.

Here's to hoping it blooms someday - the flowers look like they'll be lovely!

Thanks again! :)