Singles wins for Anne Keothavong and Elena Baltacha ensured Judy Murray's team started their promotion bid with victory over Portugal.
British number two Keothavong got things rolling by beating Portugal's Maria Joao Koehler 6-3 6-4 in Eilat, Israel.
Keothavong raced into a 4-0 lead and although her opponent managed to retrieve one of the breaks of serve, the British player took the first set.
Koehler made a better fist of things in the second set and opened an early 3-0 lead. However, Keothavong pulled level and a late break of serve saw her close out the match.
Elena Baltacha then demolished Michelle Larcher de Brito 6-2 6-3 in the second rubber.
The British number one broke in the fifth and seventh games to claim the first set and then a double break of serve saw her race 5-1 ahead in the second.
De Brito rallied briefly but could not prevent the British star completing victory.
Youngsters Heather Watson and Laura Robson then completed a 3-0 win in the doubles rubber.
Despite falling a break behind in the opening set, 19-year-old Watson and 18-year-old Robson recovered to take the rubber convincingly, 7-5 6-0.
GB are in Group C in Euro/Africa Zone I and will also face the Netherlands and hosts Israel this week.
If they top the group they will compete in Saturday's play-offs, the winners of which will earn a shot at promotion to World Group II in April.
Murray said: "Today was fantastic. We had two convincing wins in the singles, straight sets wins for Anne first of all and then for Bally, and then the younger girls who had a little bit of a sticky start in the doubles came through very strongly so we didn't drop a set and it was relatively straightforward."
"For me it was the perfect debut, but it's only the first match. We've got a tough one tomorrow against the Netherlands but we've prepared well and we'll be ready."