Scotland, England and Wales all failed to reach the Commonwealth Games rugby sevens semi-finals at Ibrox.
The hosts, who came close to beating defending champions New Zealand in their pool on Saturday, lost 35-12 to South Africa.
Wales blew a 19-point lead against Australia, eventually losing 21-19, while England went down 15-14 to Samoa.
The All Blacks, who have never lost a match in Commonwealth Games sevens, saw off Kenya 19-7.
New Zealand will meet South Africa in Sunday's final (21:37 BST) after seeing off Australia 19-7 in their last-four tie.
South Africa beat Samoa 35-7 in the other semi-final.
Samoa and Australia will contest the bronze medal at 21:15.
Earlier, Wales blitzed the Wallabies in the first half of their last-eight tie, opening up a 19-0 lead through tries from William Harries, Lee Williams and Luke Morgan.
But Australia skipper Ed Jenkins scored a crucial try as half-time beckoned before Sean McMahon scored another to set up an exciting finale.
Wales should have made sure of victory but butchered a three-on-one overlap, before Pama Fou went over for a try under the posts with the last move of the match. Clark Cameron knocked over the conversion to secure the win.
|Former Wales back Jonathan Davies, speaking on BBC One|
|"That's what sevens rugby is all about. It isn't over until the final whistle. But with 59 seconds left Wales had a three-on-one and they should've scored. That has cost them the game."|
England were under intense pressure for the first five minutes of their encounter against Samoa. But when Marcus Watson scored a breakaway try, it looked like England might take a lead into the break.
However, Samoa Toloa scored two tries just before half-time, taking his tournament tally to seven. Worse for England, James Rodwell was sent to the sin-bin for a cheap shot on Toloa as he slid in for his first score.
Lio Lolo produced an acrobatic finish in the corner to increase Samoa's lead, before a moment of magic from Dan Norton, who kicked diagonally on the run before touching down under the posts, gave England hope.
But Samoa hung on to set up a semi-final against a dangerous-looking South African outfit, who cut hosts Scotland to ribbons in their last-eight encounter.
A try from Cornal Hendricks gave the Springboks an early lead, before a second from Branco du Preez further deflated what had been a raucous pre-match atmosphere.
Seabelo Senatla scored a third try for his side, taking his tally to eight in the tournament, before Mark Bennett touched down to make it 21-7 at half-time.
After the restart, Lee Jones jinked over for his sixth try of the competition before a second try from Senatla and another from Cecil Afrika put the Boks out of sight.
Ben Lam scored a brace of tries for New Zealand against a spirited Kenya as they continued their 16-year winning streak, stretching back to the sport's debut in Kuala Lumpur in 1998.