To gain further understanding on the molecular epidemiology of the outbreak in Italy, we characterised the full-genome sequence of two SARS-CoV-2 strains respectively isolated from two patients diagnosed in the country. The first patient was a Chinese tourist from Wuhan diagnosed at the end of January, who had visited Rome and not been in areas of Italy later found to be the initially affected areas of the epidemic in Lombardy. The second patient was an Italian person, with no apparent direct epidemiological link with China and who was diagnosed in the second half of February in Lombardy. The sequences presented are analysed in the context of other available genome sequences from Europe and elsewhere.