Thank you for your response, Tiffany. I've added a picture taken from my gravel driveway. The wire grass is coming from the neighbor's property and extends from just a few inches up to 3 feet into our driveway, which is right on the property line. Neighbor said he's tried (unsuccessfully) to pull out the wire grass. He and I are both concerned about spraying weed killer any closer because his vegetable garden is close to the property line. Any suggestions would be greatly appreciated.

That is a tough spot. There is no way grass will stop creeping into the drive without a physical barrier to prevent it. Wiregrass (and all of its nasty friends, Bermuda, St. Augustine, Zoysia, etc...) are vines and will never stop creeping sideways until it hits deep shadows or a physical barrier. Agree, it can't be pulled. When it gets in my flower beds, I have to dig it out.

You probably already know and do, but in case not, to prevent new grass seeds from sprouting, mow around the driveway area with the chute aimed back at the mowed area, not into the drive. That doesn't help much because your problem is mostly creeping, not seeding.

I actually bag the clippings when I mow this area (and another area where crab grass is giving me grief) to help reduce spreading from seeds. Doesn't seem to help for either nuisance but it at least makes me feel like I'm doing something to deter them. On the wire grass, I also tried SIX months of dark plastic cover to snuff the life out of it. That resulted in minimal reduction. Ah-well. Maybe neighbor and I can come with some solution. Thank you again for your time.

A smother could succeed if you trench along the dividing line, to sever the connecting vines between the grass in the gravel and that in the mowed area. Otherwise, if what you're trying to smother is connected by vines to exposed, healthy in the mowed area, vine grasses will just keep crawling until they find light again, getting sustenance from their leaves in the mowed area.

If you make the effort to trench, you're ready to install some kind of barrier to keep the grass from creeping back. A line of bricks, concrete, anything you want to use that can physically prevent the grass from crawling back into the gravel. Without installing a barrier, other solutions will only be temporary and need to be repeated because vine grasses never stop creeping.

If you try smothering again, plastic alone probably won't do it. It won't block enough light, and won't be heavy enough to physically prevent growth from emerging from the soil/gravel. A piece of sheet metal is much more effective for smothering tough vine grasses. A baby pool with a few cinder blocks or large-ish rocks to hold it in place can also smother grass. Either of these would need to be left in place at least 6 months, over summer.

A trench--makes sense! How deep/wide? You've got me excited about a potential solution!

I don't think the width matters, as long as the vines are severed. If you're going to fill it with concrete, bricks, landscape timbers, a trench that fits them to fit level with the soil should be good, but you may need to cut deeper with a straight shovel, as the first step, to make sure the vines are severed. When finished, monitor the border at least monthly with a string trimmer to cut off any vines that try to go across. IME with barriers, only torpedograss is a threat from under a barrier. The other vine grasses don't dive under like that one does. Hopefully you don't that in the mix.

The details you have provided are very helpful. You've educated me! Thanks!!!

I'm happy to suggest. Maybe both of us will have a real paved driveway someday. : )

If it's anything like Bermuda grass, it has tough roots that go deep - and pieces left behind will sprout too.

I use one of those dandelion weeders to dig out the deep roots of Bermuda grass from my garden beds.