Yes, there's a Form 1116 for each country. If your Foreign Income is reported on 1099-Div or 1099-Int, choose Country 'RIC' (Regulated Investment Company) and enter the total Foreign Tax and Foreign Income so only one Form 1116 is needed for this type of income.
Here's more info on Claiming the Foreign Tax Credit.
**Say "Thanks" by clicking the thumb icon in a post
**Mark the post that answers your question by clicking on "Mark as Best Answer"