American invasives in Europe or Asia

We all know that there are so many plants from Europe or Asia that are invasive in America, but how do our plants behave when planted there?

I would think that V creeper is busy crawling around europe.

I would love to hear about that myself.

I don't know for myself but I have seen it crawling up many a home in england.

Robinia pseudoacacia is growing all over the continent; there is/was a specimen from 1753 at Kew. Germany values it as a street tree with half a dozen named clones at least.

Whether it is considered invasive (see Botanary, Garden Terms definitions, or other threads on this forum), I don't know. Without local pests, word has it that it produces exceptional lumber.

I've seen it along many roadsides and in woodlands in Italy, especially in the region of Toscano, along with Arundo donax.

I think I have read Prunus serotina is a problem in the U.K.

It is my understanding that much of Europe is experiencing stress from the naturalization of many Asian species that we struggle with over here too. One species that is most notably infesting them over there is Giant Hogweed (Heracleum mantegazzianum).
http://www.michigan.gov/mda/0,1607,7-125-1568_2390_34686---,00.html

It's my understanding that they've got some severe issues with our Bull Frog as well as Asian Earthworms.

I've heard that switchgrass(panicum virgatum) is a problem in Europe., too.