The Czech Republic are through to the quarterfinals after Tomas Berdych and Radek Stepanek beat Italy 's Daniele Bracciali and Potito Starace 6-3, 6-4, 6-2 in Ostrava.
It was the Banik Ostrava man's first international goal and gives the Czechs a crucial three points ahead of other Group A matches against Portugal and Turkey.
World No. 3 Petra Kvitova is expected to lead the home side in Ostrava as she bounces back from illness and injury which have plagued her for the past two months.
Meanwhile, Petra Kvitova and Lucie Safarova gave Fed Cup champions the Czech Republic a 2-0 lead over Australia after the first day of their World Group tie in Ostrava on Saturday.
"This round can't do me any harm, " said Dyson, who flew back from Chicago on Monday night, then caught another flight to Prague and after that had to take a train to Ostrava.
Chambers is due to go head-to-head with Mark Lewis-Francis and Jason Gardener in Ostrava on Thursday night in what looked set to be an exciting run-off for the place in the British team.
Lucie Safarova beat 2010 French Open champion Francesca Schiavone 7-6 (7-3) 6-1 in Ostrava, then world No. 3 Petra Kvitova defeated Sara Errani 6-4 6-3 to leave the home side needing only one win on Sunday.