For a logical switching element implemented across several managed switching elements, some embodiments provide a method that receives a packet for processing through a logical processing pipeline of the logical switching element. The method processes the packet through a first set of stages of the logical processing pipeline of the logical switching element. The method modifies a set of context tag values to indicate a logical output port of the logical switching element for the packet. The method forwards the packet to a managed switching element of the several managed switching elements based on the logical output port in the set of context tag values stored in the packet.