Davis Cup heavyweights Australia and the United States eased through the first qualifying round on Saturday but Britain were knocked out as Japan hit back from 2-1 down to win 3-2, while Denmark staged a dramatic comeback to overcome Serbia.
Following a victory over Alexei Popyrin at the Queen's Club Championships in his 1,000th tour-level singles contest, Murray withdrew due to the injury while trailing 4-1 in the first set of his second-round match with Jordan Thompson on Wednesday.
Britain battled to victory over last year's Davis Cup runners-up Australia in their Finals group stage opener on Wednesday, while Spain and Italy both suffered chastening defeats at home in the premier men's team competition.
The former world number one returned to best-of-five-set tennis for the first time in 14 months at the US Open last week but, after hobbling to defeat in the second round, he decided to skip the Sept. 14-16 World Group playoff tie.
Serbia sealed their place in the Davis Cup quarter-finals in straightforward fashion but Britain survived another nail-biter before joining them in the last-eight on Thursday.
Murray, who underwent hip surgery in January, won the European Open in Antwerp last month but the three-time Grand Slam champion is the lowest-ranked singles player in the British team at 126 behind Dan Evans (42) and Kyle Edmund (69).
Britain will attempt to win the Davis Cup for the first time in 79 years this weekend when they take on Belgium in Ghent, although if they do succeed the Scottish town of Dunblane could argue its name should be enscribed on the trophy.
Unheralded British youngster Kyle Edmund faces a Davis Cup baptism of fire when he makes his debut in the final on Friday against Belgium's David Goffin in the opening rubber.
Wimbledon champion Andy Murray says he is unlikely to play in Britain's Davis Cup quarter-final clash in Serbia this weekend but could travel to Belgrade in support of the team.
Andy Murray has pledged 50 pounds ($77.59) to children's charity UNICEF for every ace he hits for the rest of the year after being moved by television images of refugees fleeing to Europe.
The Davis Cup final between Belgium and Britain will go ahead despite Brussels being placed on maximum alert over the threat of an imminent attack, local organisers and the International Tennis Federation said on Monday.
It ended a woeful few days for reigning champions Croatia. They left with two losses.
Britain reached the Davis Cup quarter-finals in bizarre circumstances on Sunday when Canadian Denis Shapovalov defaulted for inadvertently blasting a ball into the umpire's face.
Rafael Nadal put in some late-night overtime to drag hosts Spain into the Davis Cup semi-finals but Novak Djokovic's hopes were dashed in excruciating fashion as Serbia bowed out on Friday.
Andy Murray beat Belgium's David Goffin 6-3, 7-5, 6-3 to seal Britain's first Davis Cup triumph for 79 years on Sunday in the Flanders Expo in Ghent.
From 2022 a new event for under 14s will be staged at the All England Club during the second week of the Championships.
Canada's Denis Shapovalov was left mortified after joining tennis's hall of infamy on Sunday, offering an apology and promising that he would learn from his momentary explosion of temper that left a Davis Cup umpire needing a visit to hospital.
Andy Murray's dedication to the Davis Cup has proved invaluable to the British team, but it may also rob the ATP Tour Finals of one of it's biggest draws this year.
Davis Cup champions Britain were locked at 1-1 with Japan after the opening two singles of their World Group, first-round tie on Friday after Andy Murray gave the hosts the lead.
Britain's rise from embarrassing Davis Cup lightweights to title contenders has been nothing short of spectacular and they will begin slight favourites to reach a first final in 37 years against Australia on Friday.
A round-up of results from Davis Cup matches played on and Sunday
Roger Federer guided Switzerland to victory in their Davis Cup World Group playoff tie against the Netherlands with an easy 6-3, 6-2, 6-4 victory over Thiemo de Bakker on Sunday.