Great Britain will play the United States away on their return to the Davis Cup World Group in February.
Britain, whose last World Group match was in February 2008, returned to the tennis elite
after an Andy Murray-inspired win over Croatia.
"Leon Smith sees this as a tie that both countries will think they can win. Andy Murray would start as a clear favourite against both John Isner and Sam Querrey (currently the top two singles players in the US), but victories would be much tougher for either Dan Evans or James Ward, and for whichever pair has to take on the Bryans in the doubles.
"Even though a hard court would suit GB, it's hard to see the US having much appetite for clay, and if you're feeling optimistic .. then a tie in Spain couldn't take place until the final."
Defending champions the Czech Republic and a formidable Spanish team, led by world number two Rafael Nadal, are in the opposite side of the draw.
The last time Britain played at this level they lost
4-1 to Argentina.
US Davis Cup captain Jim Courier said: "Great Britain will be a challenging and exciting opponent for us.
"It's going to be memorable to have the two original Davis Cup nations face off again for the first time since the competition's Centennial Celebration in 1999."
The Czech Republic, who will attempt to retain their crown when they play Serbia in this year's final in November, host the Netherlands.
Spain, winners in 2008, 2009 and 2011 and runners-up last year, travel to Germany.
Serbia, led by world number one Novak Djokovic, host Roger Federer's Switzerland.
Wimbledon champion Murray
beat Croatia's Ivan Dodig
6-4 6-2 6-4 on Sunday to give Britain an unassailable 3-1 lead in the best-of-five play-off, before Dan Evans completed a 4-1 win by overcoming Mate Pavic in a dead rubber.
Davis Cup World Group, first-round draw
Germany v Spain
Czech Republic v Netherlands
Japan v Canada
France v Australia
United States v Great Britain
Argentina v Italy
Kazakhstan v Belgium
Serbia v Switzerland
Ties to be played from Friday, 31 January-Sunday, 2 February 2014