Britain and Russia were the beaten semi-finalists, while France and Serbia have been handed wildcards.
The Americans, the Davis Cup’s most successful team with 32 titles, will have a choice of venues for their tie with Uzbekistan.
Sunday’s draw also matched 2019 champions Croatia with the winner of the Pakistan v India series, while Colombia will face Argentina.
Full 2020 Davis Cup daw
The country listed first has a choice of venues.