Great Britain got their wish and landed a home tie for the first time since 2002 when the draw for the Davis Cup Euro/Africa Zone was made on Thursday.
Jeremy Bates' side, beaten 5-0 by Switzerland at the weekend, face either Serbia & Montenegro or Israel in April.
The two countries will meet in Tel Aviv in February to decide who Britain play.
The Lawn Tennis Association (LTA) has yet to decide a venue but Glasgow has been tipped as a potential host after the emergence of Scot Andy Murray.
"There are a number of considerations we need to bear in mind before we choose a venue," an LTA spokesman told BBC Sport.
"For instance, we need to look at the players available to us and work out what surface suits them best."
The Serbians will start as favourites against Israel to set up arguably the toughest tie Britain could have faced in the draw.
They include rising 18-year-old Novak Djokovic who is ranked 81 in the world and has reached the third round of two Grand Slams this year.
And the Serbians would also pose a threat to Greg Rusedski and Andrew Murray on the doubles court in the shape of world 11th-ranked doubles player Nenad Zimonjic.
A tie against Israel would provide a quick rematch of last April's 3-2 win in Tel Aviv during which Murray made his Cup debut.
WORLD GROUP DRAW
Austria v Croatia
Argentina v Sweden
Belarus v Spain
Switzerland v Australia
Germany v France
Netherlands v Russia
USA v Romania
Chile v Slovakia
Victory would again put Britain through to September's World Group play-offs - the stage at which they were knocked out this year by a Roger Federer-inspired Switzerland.
The tie in Geneva was Britain's sixth successive away draw following the home tie against Thailand in September three years ago.
The World Group draw for 2006 also took place on Thursday, setting up a potential mouth-watering Roger Federer-Lleyton Hewitt Davis Cup clash when Australia were handed a trip to Switzerland in February's first round of elite matches.
World number one Federer is yet to confirm his participation in the opening phase of the team competition, but is widely expected to step in now a meeting with the patriotic Hewitt is on the cards.
This year's finalists Croatia and Slovakia also face away ties - to Austria and Chile respectively.
Spain must also travel to Belarus, while Russia must journey to the Netherlands.