Rhona Martin's curlers lost 10-5 to Japan in a defeat which has seriously dented their qualification hopes.
Britain's women's curlers face a fight to qualify for the semi-finals
But men's team have already reached the semi-finals, despite losing 9-8 to the Americans and 5-2 to Finland on Sunday.
GB's two-man bobsleigh team of Lee Johnston and Dan Humphries finished 15th behind winners Germany 1.
Russian favourites Tatiana Navka and Roman Kostomarov lead after the ice dancing original programme, while Britons John and Sinead Kerr are 11th.
Meanwhile, the women's super-G, featuring GB's Chemmy Alcott, was postponed until 1100 GMT on Monday because of heavy snow and poor visibility.
Earlier, hosts Italy won gold in the men's 4x10km cross-country skiing relay, while Dutchwoman Marianne Timmer won the women's 1000m speed skating gold at the Oval Lingotto.
DAY NINE EVENTS
David Murdoch's British men's curlers went through to the semi-finals with USA and Finland despite a 9-8 defeat to the Americans on Sunday morning.
But Britain lost their final match 5-2 against Finland on Sunday evening, which could prove costly.
Final positions in the table will determine the ties for the last four, with first playing fourth and second against third.
In Sunday other matches, Finland beat Italy 7-4, Norway won 9-6 against New Zealand, Germany edged Sweden 7-5, Canada trounced New Zealand 9-1, Sweden lost 3-8 to Switzerland and Norway won 5-2 against Germany.
Rhona Martin's hopes of defending her Olympic crown are hanging by a thread after a 10-5 defeat to Japan in their penultimate round robin match.
Britain's women slipped to fifth in the table and must win against the USA on Monday to have any chance of qualifying for the last four through a play-off.
Britain's closest rivals for the fourth qualifying spot are Canada, who beat Italy 11-4 on Sunday.
In other matches, Russia beat Denmark 9-7 and Switzerland edged USA 9-8.
Great Britain's Chemmy Alcott will have to wait until 1100 GMT on Monday for her favourite event, the super-G, after it was cancelled on Sunday because of heavy snow and poor visibility at San Sicario.
Alcott finished in a superb 11th in the downhill but was disqualified from the combined after the first slalom because her skis were too narrow, contravening regulations.
Austrian Michaela Dorfmeister, who won gold in the downhill on Wednesday, will start as super-G favourite. The 32-year-old leads the super-G World Cup standings with four podium finishes in the first five races of the season.
Dorfmeister's Austrian team-mate, Alexandra Meissnitzer, is perhaps her nearest challenger.
Croatian Janica Kostelic, who won the combined event on Saturday, was a late withdrawal but may change her mind given the event has been pushed back.
Kostelic, who also missed last week's downhill through illness, wants time to recover for the defence of her slalom and giant slalom titles.
Ice dancing favourites Tatiana Navka and Roman Kostomarov put Russia's bid to sweep all four figure skating medals back on track as they climbed to the top of the standings following the original dance.
The world champions took their total score to 99.27, while USA duo Tanith Belbin and Benjamin Agosto were 1.38 points behind in second, heading into Monday's free dance.
But Italians Barbara Fusar Poli and Maurizio Margaglio, who were the surprise leaders after the compulsory dance, slipped to seventh after a nasty fall at the Pavela rink.
British sister-brother pair Sinead and John Kerr remained in 11th position with a score of 81.86.
Monday's final event counts for 50% of the total score.
Dutchwoman Marianne Timmer won the women's 1000m speed skating gold at the Oval Lingotto.
Timmer, the 1998 Olympic 1000m and 1500m champion, clocked one minute 16.05 seconds with Canada's Cindy Klassen in silver in 1:16.09.
World Cup leader Anni Friesinger of Germany was third in 1:16.11.
Italy claimed their third gold medal of the Games in the men's team cross country relay in front of rapturous home support at a snowy Pragelato.
Germany finished second after World Cup leader Thomas Angerer beat Sweden's Mathias Fredriksson in a sprint to the line.
Outgoing gold medallists and cross-country powerhouse Norway fell out of contention early in the race and finished fifth, one minute 10secs behind.
Austria, whose team members were subjected to doping tests late on Saturday following a raid on their house, were lapped and were the only team of the 16 not to finish the race.
Germany's Andre Lange and Kevin Kuske clinched the two-man bobsleigh gold medal from former Olympic champion Pierre Lueders and Lascelles Brown of Canada.
Switzerland's Martin Annen and brakeman Beat Hefti took the bronze.
Britons Lee Johnston and Dan Humphries finished 15th after their four runs.
The women's freestyle skiing aerials qualifiers were cancelled because of heavy snow and will be re-staged on Tuesday. The final is set for Wednesday.
The 2002 gold medallist was Australia's Alisa Camplin, who dominated the sport in the two years following the Games.
She then suffered a major cruciate ligament injury, which put her out of action, but she looks to be returning to form.
In the men's ice hockey, Switzerland drew 2-2 with Germany in group A to reach the quarter-finals.
The Czech Republic overcame Italy 4-1 to join defending champions Canada, who lost to leaders Finland 2-0, in the next stage of the tournament.
In Group B, Russia trounced Latvia 9-2 to book a place in the quarter-finals, while leaders Slovakia won 2-1 against Kazakhstan and Sweden edged United States 2-1 to reach the knockout stages.