When you come to the end of the Stradun (entry point pile gate) you can pass through one of two passages under the city walls, and you will find yourself in the old port.
Here you will find some very cosy seafood restaurants (although crowded in the evenings), and you will have a grand view over the mountains south of Dubrovnik and the island Lokrum.
There are many stands offering boattrips to the nearby islands (Elafiti islands), however these boattrips are more expensive than boattrips arranged from outside the old city. Address: The old cityDirections: Follow the Stradun to the end and pass under the walls