Poland and Russia secured their places at Euro 2020 with victories over North Macedonia and Cyprus respectively, while Germany and the Netherlands boosted their hopes of reaching the finals.
Russia eased to a 5-0 thrashing of 10-man Cyprus, with Poland joining them, Belgium and Italy in qualifying this week by seeing off North Macedonia 2-0.
Stanislav Cherchesov's Russia, who reached the World Cup quarter-finals on home soil last year, only had to avoid defeat in Nicosia to follow Belgium in qualifying from Group I.
Valencia winger Denis Cheryshev fired in a ninth-minute opener for the visitors, before Magomed Ozdoev, who scored a fabulous long-range strike on Thursday against Scotland, made it two midway through the first half.
Any thoughts of a Cyprus comeback were ended in the 28th minute when Kostas Laifis was dismissed for a nasty lunge on Russian full-back Sergei Petrov.
Striker Artem Dzyuba scored his third goal in two games in the 79th minute, before Aleksandr Golovin and Cheryshev's second completed the rout late on.
Russia will attempt to overtake Belgium, who beat Kazakhstan 2-0 earlier on Sunday, at the summit when they host the world's number one side on November 16.
The European Championship finals, which start on June 12 next year, are being held at 12 different venues across the continent, including Saint Petersburg in Russia.
Poland went into their game against North Macedonia knowing victory would punch their ticket for the Euros.
They were forced to be patient by the visitors, who could qualify through the playoffs after winning their Nations League group if they fail to do so automatically.
But Przemyslaw Frankowski prodded home less than 60 seconds after coming on as a substitute in the 74th minute, before Akardiusz Milik made the points safe.
Poland remain three points clear of Austria, who won 1-0 in Slovenia, at the top of Group G, with North Macedonia and Slovenia five points further adrift.
Ronald Koeman's Netherlands remained at the top of Group C ahead of Germany on head-to-head record with a nervy 2-1 win over Belarus in Minsk.
The Dutch lead third-placed Northern Ireland by three points after beating Michael O'Neill's side 3-1 on Thursday.
Georginio Wijnaldum headed the away team in front in the 32nd minute, shortly after Denis Laptev had spurned a golden chance to give Belarus a shock lead.
The Liverpool midfielder doubled the advantage before the break with a wonderful 25-yard strike into the top corner, and although Stanislav Dragun gave Belarus hope early in the second half, the Netherlands held on with relative comfort.
"We have to do better than we did in the second half, although in the end we had things under control," Dutch captain Virgil van Dijk told television channel NOS.
"We are now very close to qualifying for the finals, and ultimately that's what counts."
Victory in Belfast over the Northern Irish next month would secure the Oranje a first appearance at a major tournament since finishing third at the 2014 World Cup.
Germany eased to a 3-0 victory in Estonia despite Emre Can being sent off in the 14th minute.
Ilkay Gundogan, who along with Can before kickoff 'unliked' a controversial Instagram post by Turkey forward Cenk Tosun, scored twice, with Timo Werner also finding the net.
Joachim Loew's side host Northern Ireland in their final game, which could decide second place.
"We had to regroup after the red card, the team did well after the break, we did not concede and scored three goals," Loew said.