Advice on buying good CD player that will outperform my Primare cd31


Hello everyone,
I'm currently thinking about changing the cd player and I would appreciate if someone has good advice on buying good red book player that will outperform my Primare cd31.
The budget is around 2000-2500eur and second hand devices are wellcome...
The rest of the system is integrated amp. Bladelius Thor mk3 novitas and Vienna acoustics Beethoven Baby Grand.
miko67
I purchased a “used” Esoteric K-05X a few months ago, and absolutely love it.
Alvin, at Vinshine, is a great guy but if you are in North America it is a whole other deal. 
I purchased a ps audio perfect wave dac w/bridge and transport for a little under 2000 and am very satisfied. I only had an old marantz CD player hooked up to an old audio alchemy dde v3 + dtiv2 for comparison. The ps audio gear is quite a bit smother and more analog sounding to my ears. On the other hand I rarely listen to it anymore after purchasing a VPI scoutmaster here, but still glad I have it and will eventually get in to streaming with it some day.
Wow, its a TEAC on steroids.. If you get one of these you in a whole other dimension of CD players...