We discuss the needs and plans for evolving event reconstruction and computing infrastructures of high-energy physics experiments towards the high-luminosity LHC era. Realizing the full physics potential of programs of the HL-LHC experiments will require the HEP community to address a number of challenges in the area of reconstruction algorithms, software and computing. These challenges center around a number of themes, including: complexity of event environment; enhancements in detector capabilities; changes in commodity computing technologies; legacy software; and the need for increased sensitivity in HL-LHC analyses. We summarize some of the research and development opportunities in thes areas.