The rubber crossover noseband has been a popular crossover noseband for horse trainers in the USA for many years.
We have recently sampled these with some of our local trainers, and the feedback has been encouraging. The one solid piece of rubber is believed to be more forgiving for the horse than traditional crossovers, allowing the horse to relax rather than fighting the device.
We are now stocking a version with leather head straps (darker than the picture):
Rubber Crossover Figure 8 Noseband, Leather Straps
…and nylon head straps: