Time Out says
Several venues now line the harbour at Pomena, the slightly touristified haunt of the yachting fraternity near the entrance to the National Park. In business since 2001, Barba Ive is probably the best of them, partly because the fish here is reliably fresh, partly because they grill their lobster over a wood fire, and partly because they’ve just been doing this for longer and have a reasonable idea how to treat customers. The stand-out sea bass is a particular recommendation. Barba Ive also makes a point of serving the best coffee on Mljet, handy to know if you’re staying in one of the four rooms upstairs.