Italy and Spain have both made easy work of low-ranked opposition as the two former European champions try to build some momentum after a disappointing year.
Spain comfortably beat Malta 2-0 while Italy did even better with a 6-0 thrashing of 10-man Liechtenstein, as both teams maintained a perfect record after two matches in qualifying for EURO 2020.
"Mission accomplished," Italy coach Roberto Mancini said.
"The result was never in doubt but we had to produce a good performance."
Tuesday's qualifiers also included two event-filled 3-3 draws capped by late equalisers.
Denmark fought back from 3-0 down in Switzerland while Norway gave up a 2-0 lead against Sweden and needed an equaliser deep into injury time just to salvage a point.
Romania belted the Faroe Islands 4-1 in Group F while Finland won 2-0 at Armenia in Group J.
Veteran forward Fabio Quagliarella became the oldest player to score for Italy as he converted two penalties for his first international goals in eight years.
The 36-year-old Quagliarella had tears in his eyes after converting his first penalty and being given a standing ovation by the fans at the Stadio Tardini.
"I will always remember this night," Quagliarella said.
"I don't care about my age because I feel very good physically. I just focus on working hard and play with serenity."
Italy moved into sole lead of Group J, two points ahead of Greece and Bosnia and Herzegovina after they drew 2-2 in Zenica.
Greece fought back from two goals down in a match which saw Bosnia and Herzegovina midfielder Miralem Pjanic sent off.
Armenia lost 2-0 to Finland and have zero points, along with Liechtenstein.
Alvaro Morata scored a goal in each half in a match which Spain dominated from the outset.
Luis Enrique was not with the squad for personal reasons and assistant coach Robert Moreno was in charge during the game.
"Winning here was crucial but we had extra motivation: we wanted to win for our coach - we hope things go as well as possible for him," Morata said.
Spain have two points more than Sweden, who drew at Norway after a dramatic finale.
Denmark stunned Switzerland with three late goals as they came back from 3-0 down in Basel to be third in Group D.
Ireland lead the section curtesy of their 1-0 home win over Georgia 1-0 thanks to a free-kick from Conor Hourihane.
Moments before the goal, Ireland fans disrupted play by throwing tennis balls onto the pitch in Dublin in protest at chief executive John Delaney's continued role in the Football Association of Ireland (FAI).
Source: Associated Press