Following their EU accession, the new member countries from Central and Eastern Europe (CEE) must achieve sustainable price stability as one of the pre-conditions for joining the Economic and Monetary Union (EMU) and adopting the euro. This paper examines the distribution dynamics of inflation rates in ten EU members from CEE relative to the EMU accession benchmark inflation over the period 1990-2009. In contrast to previous studies, we use non-parametric methods to test for convergence in inflation rates between CEE and the EMU benchmark as well as within the CEE sample. Over the entire sample period, we detect a general shift in the CEE inflation distribution towards the EMU benchmark along with intradistributional convergence. However, this process is not uniform. In the early years, it was equally likely for CEE inflation rates to move towards or away from the benchmark. The resulting multimodal distribution gave way to a unimodal distribution in the years leading up to the EU accession, accompanied by a marked shift towards the EMU benchmark. In more recent years, a bimodal distribution signaled the stratification of relative inflation in CEE into two convergence clubs, which has intensified since the start of the global economic crisis.