In an NBER working paper, Laurence Ball and Sandeep Mazumder question the puzzles of first, missing disinflation and subsequently, missing inflation in the Euro area. From the abstract:
… we measure core inflation with the weighted median of industry inflation rates, which is less volatile than the common measure of inflation excluding food and energy prices. We find that fluctuations in core inflation since the creation of the euro are well explained by three factors: expected inflation (as measured by surveys of forecasters); the output gap (as measured by the OECD); and the pass-through of movements in headline inflation. Our specification resolves the puzzle of a “missing disinflation” after the Great Recession, and it diminishes the puzzle of a “missing inflation” during the recent economic recovery.
See also the paper by James Stock and Mark Watson.