Switzerland lost to Mexico 3-2 in the World Group, while Serbia-Montenegro defeated Great Britain 3-2 in the match of the Group I.
The play-off draw was made in London.
Full play-off draw:
Austria - Mexico
Germany - Thailand
The Netherlands - Czech Republic
Romania - South Korea
Slovakia - Belgium
Spain - Italy
Brazil - Sweden
Switzerland - Serbia-Montenegro
The ties will be held the weekend of September 22-24, with the eight winning nations advancing to the World Group for 2007, while the eight losers will start next year in Group I.