Reigning champions France beat Finland 2-0 in a World Cup qualifier on Tuesday thanks to Antoine Griezmann's double strike to snap a five-game winless streak while Scotland kept their hopes alive with a 1-0 win in Austria.
In other action, Portugal and the Netherlands stayed on track to reach the finals in Qatar next year, with Memphis Depay grabbing a hat-trick for the Dutch in a 6-1 demolition of Turkey.
Griezmann made it 41 goals for his country when he beat Finnish 'keeper Lukas Hradecky at the near post to make it 2-0 in the 54th minute.
After a frustrating 1-1 draw with Ukraine in their last game, the victory was a welcome boost for the French who are still smarting after crashing out of Euro 2020 at the last 16 stage this summer.
"We did not do everything well but we have rediscovered our confidence," said France coach Didier Deschamps.
Scotland grabbed a valuable three points in their bid to qualify for Qatar with a 1-0 win against the Austrians in Vienna as Australian-born Lyndon Dykes' VAR-awarded penalty proved the difference.
The victory moved the Scots up to second in Group F, seven points behind Euro 2020 semi-finalists Denmark who are cruising with a 100 percent record after thrashing Israel 5-0.
Louis van Gaal's side moved into top spot in Group G by virtue of goal difference above Norway who outclassed minnows Gibraltar 5-1, with Erling Braut Haaland notching a hat-trick.
Serbia's bid to qualify for a second successive World Cup finals suffered a setback as Nikola Milenkovic's late own goal and a superb display from teenage goalkeeper Gavin Bazunu gave the Republic of Ireland a battling 1-1 draw in Dublin.
The Serbs trail Portugal -- who were 3-0 winners in Azerbaijan -- by two points in Group A.
The Portuguese did not miss the suspended Cristiano Ronaldo as Bernardo Silva scored a sparkling opener on 26 minutes before Andre Silva added a second five minutes later in Baku.
Liverpool forward Diogo Jota completed the job with a second-half header to continue his bright early season form.