Heat oil in a large skillet: the skillet must be large enough to hold the leeks in a single layer. Add leeks & saute until lightly browned on all sides, about 5 minutes. Add a little wine or broth if they stick.
Add the remaining wine & broth & bring to a boil. Cover, reduce heat & simer for 10 minutes, turning the leeks once during this time.
Transfer leeks to a serving dish. Cook sauce a few minutes more to reduce & then pour over the leeks & serve. This is good hot, tepid or cold.