Pileup has a significant impact on jet reconstruction and on the ability to identify hadronically decaying boosted objects. The Constituent Subtraction is a pileup mitigation method which operates at the level of jet or event constituents and which is successfully used by experiments at the LHC. This talk explores its application on the event constituents before jet clustering. Several improvements are presented, along with performance studies for expected pileup conditions during the LHC Run 2 and Run 3. An overview of the use of the Constituent Subtraction in experiments at the LHC is also provided.