Automatic qualifiers are joined by the winners Argentina, Croatia, France, Great Britain, Spain and USA at the finals.
Uzbekistan were 2-0 down just to level at 2-2, together with Denis Istomin partnering Sanjar Fayziev to a 6-3 win over Nikola Milojevic and Viktor Troicki at the doubles until Istomin beat Dusan Lajovic 6-3 6-4 in the singles.
But, Serbia went through after Filip Krajinovic came from a set down to overcome Fayziev 46 6-3 6-0 in the final rubber.
Felix Auger-Aliassime beat Norbert Gombos 6-3 6-4 at a decider to ship Canada through at the expense of Slovakia, while Chile pumped out Austria because of Christian Garin’s 6-2 6-1 victory over Jurij Rodionov at the final rubber.
Switzerland, that were overlooking Stan Wawrinka and 20-time Grand Slam winner Roger Federer, fell 3-1 to Russia.
Even the Davis Cup structure has undergone an overhaul and was substituted by the event to be held at Madrid together with matches to be played across two days in the place of three on the best of 3 sets.
Austria 23 Chile
Brazil 13 Belgium
China 23 Japan
Colombia 4-0 Sweden
Czech Republic 13 Netherlands
Germany 5-0 Hungary
India 13 Italy
Kazakhstan 3-1 Portugal
Slovakia 23 Canada
Switzerland 13 Russia
Uzbekistan 23 Serbia