A case study of a foehn event in the Inn Valley near Innsbruck, Austria, is in- vestigated that occurred on 29 October 2017 in the framework of the first Inten- sive Observation Period (IOP) of the Penetration and Interruption of Alpine Foehn (PIANO) field campaign. Accompanied with northwesterly crest-level flow, foehn broke through at the valley floor as strong westerly winds in the moring and was terminated in the afternoon by a cold front arriving from the north. The differ- ence between local and large-scale wind direction rises the question of whether the event should be classified as north or west foehn – a question that has not been convincingly answered in the past for similar events based on Eulerian approaches. Hence, the goal of this study is to assess the air mass origin and the mechanisms of foehn penetration to the valley floor based on a Lagrangian perspective. For this purpose a mesoscale simulation with WRF and backward trajectory analysis with LAGRANTO are conducted. The trajectory analysis shows that the major part of the air mass arriving at Innsbruck originates six hours earlier over eastern France, crosses the two mountain ranges of the Vosges and the Black Forest and finally impinges on the Alps near Lake Constance and the Rhine Valley. Orographic precipitation over the mountains leads to a net diabatic heating of about 2.5 K and to a moisture loss of about 1 g kg −1 along the trajectories. A secondary air stream originates further south over the Swiss Plateau and contributes with about 10 to 25 % to the foehn air in Innsbruck. Corresponding trajectories are initially nearly parallel to the northern Alpine rim and get lifted above crest level in the same region as the main trajectory branch. Air parcels within this branch experience a net diabatic heating of about 2 K, and, in contrast to the ones of the main branch, an overall moisture uptake due to evaporation of precipitation formed above this air mass. Penetration into the Inn Valley mainly occurs in the lee of three local mountain ranges – the Lechtal Alps, the Wetterstein and the Mieming Chain and the Karwendel – and is associated with a gravity wave and a persistent atmospheric rotor. A secondary penetration takes place in the western end of the Inn Valley via the Arlberg Pass and Silvretta Pass. Changes in the upstream flow conditions cause a shift in the contributions of the associated penetration branches. From a Lagrangian perspective this shift can be interpreted on the valley scale as a gradual transition from west to northwest foehn, despite the persistent local west wind at Innsbruck. However, a clear classification in one or the other category remains subjective even with the Lagrangian approach and, given the complexity of the trajectory pattern, is nearly impossible with the traditional Eulerian view. Likewise, foehn criteria based on pure adiabatic heating due to subsidence on the leeward side, i.e., the isentropic drawdown mechanism, are not appropriate to classify such moist events. One further limitation of the trajectory-based classification in this study is the neglect of turbulence in the trajectory calculation. Sensitivity experiments showed that a large number of trajectories distributed over the entire valley cross section in combination with a small integration time step and a high frequency of the input wind fields is necessary to resolve the flow variability reasonably well. However, even with the settings chosen in this study there are still indications not all resolved flow features are fully captured by the trajectory analysis and that the upstream trajectory distribution is highly dependent on the starting position. The results presented here therefore most likely underestimate the true trajectory dispersion.ers