I also used an EyeOne for calibrating two monitors and while each improved individually, they ended up with drastically different tints. So much for hoping to achieve repeatability.
My assumption is that a monitor needs to have a minimum quality to be fully calibrated. Both of the two monitors I calibrated are rather cheap and I guess one cannot expect more with such hardware. While I could get them closer by hand tweaking one, it was impossible to find settings that made them show the same tint for all colours. I guess that's a sign that the hardware is lacking and that it is not fair to expect the EyeOne to do a perfect job.
The experiences posted here show that "calibration" as such is no guarantee that colours are repeatable across different monitors. Apparently, the monitors need to have a minimum quality as well. Or is it a known problem between high-end monitors from different brands as well?