Boil the eggs hard in about 8-10 minutes and then let them cool in cold water. While they cool, clean the broccoli and separate its florets. Wash and then braise them in hot, salty water on medium heat for about 5-7 minutes. Make sure you do not throw away the stem, either. Peel it and slice it into smaller pieces. Cut up the dried tomatoes into thin stripes and braise them together with the broccoli for about 3 minutes. When it is done, pour and then drip off the water carefully.