Over the last five years, Fermilab is undertaking the transition from the energy frontier program, based on the Tevatron proton-antiproton collider, to a program of precision measurements of rare processes in search for new physics. During this transition period, a lot of effort has been invested on finishing the collider program with legacy measurements from the CDF and D0 experiments, in parallel to the design and construction of the new experiments. The present talk reflects this effort by covering two topics: The final measurement of the top quark mass in the lepton+jets channel by the CDF experiment, aiming to achieve the best precision from a single measurement, and an introduction to the Mu2e experiment, seeking for the first signature of charged lepton flavour violation. The status and perspectives of the top quark mass analysis are discussed. The future Mu2e experiment is outlined and studies of its solenoid magnet system are described. This seminar is also part of the Training activities of the researchers involved in the “Muon campus in US Europe contribution” European Project (Muse, H2020-MSCA-RISE-2015, GA 690835).