OK, most of it is out-I put some dish soap on it and rubbed it a bit (it was in the corner with no stitching) and its pretty much gone. I find dish soap to be one of the best stain removers around, especially when you don't want to get the big guns out. And thus far, the red hasn't run. So far, so good.

If the stain doesn't come all the way out, maybe you can re-frame it (assuming it was in a frame) with a wider mat or smaller frame so the stain will be hidden.