Wales lead Italy 26-9 with 15 minutes to go in Rome.
Jonathan Davies made the most of a lucky bounce to collect a kick through and score after 44 minutes.
With Italian prop Martin Castrogiovanni in the sin bin, Alex Cuthbert ran a fantastic line to touch down in the corner for Wales' second try on the hour mark.
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Wales got their 2016 Six Nations campaign under way with an entertaining 13-all draw with Ireland at the Aviva Stadium.