Baseball Glove Relacing

[Tio Gato]

I remember that when I was a little kid, 40+ years ago, my dad told me that cobblers relaced gloves. I guess there aren't many cobblers left these days, maybe you will get lucky and find one that does this.
Good luck.
Smokin Gator is a leather craftsman, maybe he can turn you on to someone who does this sort of work.