Regular purslane (Portulaca umbraticola), which is the flat-leaved one is not cold-hardy here. It usually is not invasive since it dies when we get a frost or freeze. If it has had a chance to reseed, you might get new plants next year from the seeds, but I've never gotten so many that I thought they were a problem or annoyance. Since you purchased an ornamental purslane, this would be the one you have. I doubt it would be invasive there since it prefers low-rainfall areas and your part of the state is usually one of the greener, higher-rainfall areas. It isn't even invasive down here in zone 7b where we get a fair amount of freezing weather in winter, but not as much as y'all get up there.

Moss Rose (Portulaca grandiflora), which is the spiny or spiky leaved cousin of Portulaca umbraticola, also is not cold hardy here but produces seeds like mad. If the seeds stay in place and don't wash away, you can get a lot of tiny seedlings in the Spring, usually in early May. I love to dig them up and move them to where I want them when this happens. This year I got only three volunteers, but some years I get hundreds. What you get as reseeding volunteers from moss rose depends on whether you grow an open-pollinated version or a hybrid form. The hybrids never have reseeded as well for me as the OPs.

The native purslane (Purslane oleracea) which most people consider an invasive weed here has smaller leaves than P. umbraticola and tiny yellow flowers, and it can be very invasive in some soils here. I hate this stuff and pull it up the minute I see it sprout. It is highly invasive in my clay soil but not in my sandy soil, which is the opposite of what I would expect. However, I think the voles in the sandy back garden tend to eat the plants when it is hot, mostly to get to the water in the succulent leaves and this might be why it never is a big problem in our sandy soil area---it just doesn't live long enough to set seeds back there in the vole-infested area. When people in our climate talk about purslane being aggressive or invasive, this usually is the one they are talking about.

Thank you Dawn.

I do have the moss rose and transplanted several this spring. Love it.

I put the purslane in pots by garage door faces south so will see how the do.

You're welcome Sorie.