Bogdan Obradovic-led Serbia will face India for the second time in three years in a bid to maintain their World Group status, having defeated India 4-1 on their most recent foray into the top tier of the competition in the first round in 2011.
The Indian Davis Cup team on Sunday entered the World Group playoffs after notching up a historic away triumph over Korea in the Group I Asia/Oceania second round tie at Busan.
Meanwhile, Spain and Argentina also face a fight to remain in the World Group following today's draw, with Carlos Moya's five-time champions needing to come away with a win in Brazil and four-time runner-up Argentina due to travel to Israel.
Australia, Canada and USA have been handed more favourable home draws, with Pat Rafter's men hosting Uzbekistan, USA taking on Slovak Republic and Canada granted a home tie against Colombia.
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2014 World Group play-offs (12-14 September):
India v Serbia
Brazil v Spain
Israel v Argentina
Canada v Colombia
USA v Slovak Republic
Australia v Uzbekistan
Netherlands v Croatia
Ukraine v Belgium.