Catalytic enantioselective methods are introduced that allow access to a variety of allyl boronates and silanes that contain a difluoroalkene unit; the resulting products may be used for the preparation of organofluorine compounds in high enantiomeric purity. Furthermore, a number of key mechanistic aspects of the transformations have been investigated and analyzed. Thus, first, an NHC-Cu-catalyzed method for boryl substitution with F3C-substituted alkenes is introduced. These processes, unlike the previously reported strategies, are applicable to alkyl as well as aryl substituted substrates, afford allyl boronates bearing a difluoroalkene moiety (up to 98% yield and 95:5 er). Second, the corresponding silyl substitutions, the first reported cases of their kind, are presented (up to 94% yield and 97:3 er). Third, experimental and computational (DFT) investigations are described that shed light on key mechanistic aspects of the catalytic processes. Evidence (X-ray structures of Cu-alkyl intermediates and kinetic studies) is put forth illustrating that the initial Cu-boryl and Cu-silyl addition is significantly faster than the ensuing Cu-F elimination, and that the latter step can be facilitated by either a mild Lewis acid (e.g., a Li or Na cation) or a nucleophilic promoter (e.g., an alkoxide). These findings together with DFT studies demonstrate that Cu-F beta-elimination probably proceeds with anti-stereochemistry. Representative cases of ways through which the new mechanistic understanding may be used to rationalize previously disclosed findings, significantly improve a transformation, or develop new diastereo- and enantioselective catalytic methods are provided. For example, an explanation is provided regarding why bisphosphine-Cu complexes do not efficiently promote boryl substitutions with aryl-substituted substrates, but the corresponding silyl substitutions are facile, and how the size of a ligand can impact regioselectivity and efficiency.