What Scott said. Guys that do vinyl floors slit and bond them back together all the time. When they get done, the repair is usually invisible. When the flooring in my kitchen was done a few years ago, underneath the vinyl, there was a screw about 3/4" long that fell out of one of the guys shirt pocket. They had to slit and bond to remove it. I was pretty upset, but I was assured (in writing) that I would never find the place they worked on. I know where it was, and I can't find it with the naked eye. Talk to a flooring installer, one of them could probably fix you up for buying them lunch.