Transgenerational epigenetic inheritance in animals has increasingly been reported in recent years. Controversies, however, surround this unconventional mode of heredity, especially in mammals, for several reasons. First, its existence itself has been questioned due to perceived insufficiency of available evidence. Second, it potentially implies transfer of hereditary information from soma to germline, against the established principle in biology. Third, it inherently requires survival of epigenetic memory across reprogramming, posing another fundamental challenge in biology. Fourth, evolutionary significance of epigenetic inheritance has also been under debate. This article pointwise addresses all these concerns on the basis of recent empirical, theoretical and conceptual advances. 1) Described here in detail are the key experimental findings demonstrating the occurrence of germline epigenetic inheritance in mammals. 2) Newly emerging evidence supporting soma to germline communication in transgenerational inheritance in mammals, and a role of exosome and extracellular microRNA in this transmission, is thoroughly discussed. 3) The plausibility of epigenetic information propagation across reprogramming is highlighted. 4) Analyses supporting evolutionary significance of epigenetic inheritance are briefly mentioned. Finally, an integrative model of 'evolutionary transgenerational systems biology' is proposed to provide a framework to guide future advancements in epigenetic inheritance.