This paper explores the links between oil prices and inflation in the euro area by means of a DSGE model reflecting the structure of the energy markets in the euro area and calibrated to match the data using reduced-form time series techniques. The analysis focuses on the impact on inflation (through the Harmonised Index of Consumer Prices (HICP) and its energy component) in the short and medium run. The main conclusion is that, in the short term, changes in oil prices are of vital importance for the understanding of inflation, but that at longer horizons their impact on inflation is much more complex and depends on the initial shock. An analysis of the sources of oil price increases remains therefore a pre-requisite for a proper understanding of historical fluctuations of oil prices and the related developments in the euro area, and for drawing policy conclusions.