I discuss the phenomenon of Cooper pairing in strongly spin-polarized Fermi systems, such as 3He+ and D+, with particular attention to the questions (1) what are the conditions for Cooper pairing to occur, and at what temperatures is this likely to happen for the systems of practical interest ? (2) what is the relationship between Cooper pairs and diatomic molecules ? (3) what are the qualitatively new phenomena we expect in a Cooper-paired system, and what new physics is likely to emerge if the phenomena occurs in spin-polarized systems