I'm sorry you had such a hassle! I didn't have to do the second part (entering basis). I imported my 1099s from Fidelity, so perhaps that all got entered into the tax forms without my knowledge.
Regarding multiple sources of foreign income, I listed the two countries as requested by EasySteps, but when I entered the ADR dividends for Denmark, I wasn't asked for the second country's amount. The steps proceeded blithely along to the end of the section, resulting in the correct foreign tax credit in the right lines of the right forms, Sched 3, etc. Go figure!
