In this study, we investigated how an emerging RNA virus evolves, interacts, and adapts to populations of a novel host species with defects in epigenetically controlled plant defense mechanisms. Mutations in epigenetic regulatory pathways would exert different effects on defense-response genes but also induce large-scale alterations in cellular physiology and homeostasis. To test whether these effects condition the emergence and subsequent adaptation of a viral pathogen, we have evolved five independent lineages of a naive turnip mosaic virus (TuMV) strain in a set of Arabidopsis thaliana genotypes carrying mutations that influence important elements of two main epigenetic pathways and compare the results with those obtained for viral lineages evolved in wild-type plants. All evolved lineages showed adaptation to the lack of epigenetically regulated responses through significant increases in infectivity, virulence, and viral load although the magnitude of the improvements strongly depended on the plant genotype. In early passages, these traits evolved more rapidly, but the rate of evolution flattened out in later ones. Viral load was positively correlated with different measures of virulence, though the strength of the associations changed from the ancestral to the evolved viruses. High-throughput sequencing was used to evaluate the viral diversity of each lineage, as well as characterizing the nature of fixed mutations, evolutionary convergences, and potential targets of TuMV adaptation. Within each lineage, we observed a net increase in genome-wide genetic diversity, with some instances where nonsynonymous alleles experienced a transient rise in abundance before being displaced by the ancestral allele. In agreement with previous studies, viral VPg protein has been shown as a key player in the adaptation process, even though no obvious association between fixed alleles and host genotype was found.