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