Merlot, Pinot Noir, and rosé Wine are my top picks for Tuna. Though fish is often paired with white wine, 'meatier' fish like tuna can absolutely go with red wine. A Rosé will also pair nicely, particularly if your tunan is prepared with ingredients better suited to a white wine. You could try Robert Mondavi Napa Merlot. Reviewers quite like it with a 4 out of 5 star rating and a price of about 30 dollars per bottle.