Boil the potatoes in salted water, peel and let cool.
Heat balsamic vinegar and honey in a small saucepan and let simmer for a minute. Cut the basil leaves into strips.
Heat the olive oil in a large pan. Roast the potatoes all around until golden brown. Salt. Pour in the balsamic and honey mixture and toss the potatoes in it. Scatter the basil over the top, toss again and serve immediately.
Tastes great with pan-fried foods, e.g. lamb chops.