Top seed Iga Swiatek crashed out of the Australian Open on Saturday, losing 3-6, 6-3, 6-4 to Czech teenager Linda Noskova in the third round as her bid for a maiden Melbourne Park title and fifth Grand Slam trophy fell apart.
Italy only needed the draw in a game played in Leverkusen, Germany, in order to qualify but a defeat against their direct rivals in Group C would have left their fate to be decided in play-offs next March.
Spain made it four wins out of four and took control of their Euro 2020 qualifying group by beating closest rivals Sweden 3-0 on Monday after overpowering the visitors in the second half with two penalties and a late strike from Mikel Oyarzabal.
Two-time Wimbledon champion Petra Kvitova will need at least three months of rest after surgery to her left hand cut by a knife-wielding burglar on Tuesday, her spokesman said.
Karolina Pliskova and Barbora Strycova clinched the Czech Republic's fifth Fed Cup title in six years on Sunday after beating France in the the deciding doubles rubber in Strasbourg.
Burak Yilmaz and Ozan Tufan score a goal in each half as Turkey beat Czech Republic 2-0 to keep alive slim hopes of reaching the Euro 2016 last 16.
Croatia's midfield icon Luka Modric suffers a muscle injury in his side's 2-2 draw with Czech Republic on Friday.
The knockout stages of Euro 2016 beckon for defending champions Spain and 2012 finalists Italy if they can back up their opening wins with more success against Turkey and Sweden on Friday.