I would like to recommend a nice place to eat in Split.
It is a bit out of the way, but still close to the old town.
Republic Square (Trg Republike) is just at the end of the crowded walkway along the waterfront, but somehow is not mobbed like the rest of Split. There are several restaurants in the square. W ate at two, and were pleased with each. The square gets a cool sea breeze, and is shaded from the sun. It was a pleasure to eat there after getting away from the crowded area.