Germany will face Spain in Madrid on March 26 and Italy on March 31 in Nuremberg before the European Championship finals, which start on June 12.
Neither France nor Portugal were in Pot One for the 24-team competition being held in 12 cities across Europe, making them the dangerous teams to avoid for the top seeds.
Aaron Ramsey scored a brace as Wales won 2-0 against Hungary while a Serge Gnabry hat-trick powered Germany to a 6-1 win against Northern Ireland.
Euro 2020: Netherlands, Germany and Croatia join other big names like France, Spain, Italy and England, with Portugal one win away from qualification.
Estonia vs Germany: Ilkay Gundogan struck twice before replacement striker Timo Werner added a third to keep Germany on course to qualify for Euro 2020.
The Netherlands registered a 4-2 win over Germany in Hamburg as the home side failed to pick up a point for the first time in the campaign.
Toni Kroos has won 12 titles in five seasons in Spain, lifting the Champions League trophy in 2016, 2017 and 2018.
Mesut Ozil, who has Turkish roots, was criticised in March after inviting Erdogan to his wedding.
Germany were put under immense pressure from a Netherlands side seeking a winner but the visitors snatched victory in the 90th minute through Nico Schulz.
A final vote on increasing the number of teams at the football showpiece would only be taken at a full Congress meeting in June.
FIFA is carrying out the study into increasing the number of teams by 16 in 2022.
The Germans were the most dangerous team outside the first pot of seeds for the competition.
The draw against Germany was enough to send the Netherlands into the Nations League knockout stages as Group One winners.
Manchester City winger Leroy Sane and Bayern Munich pair Niklas Suele and Serge Gnabry claimed the first-half goals in Leipzig.
Loew insisted he was "very pleased" with the performance as Germany were much improved compared to the team that lost 3-0 against the Netherlands.
Germany coach Joachim Loew has come under-fire following Germany's latest defeat, a 0-3 loss to the Netherlands.
Dutch captain Virgil Van Dijk gave the hosts a first-half lead before late goals by Memphis Depay and Georginio Wijnaldum.
Liverpool duo Virgil van Dijk and Georginio Wijnaldum scored as the Netherlands won to send Germany to the bottom of Nations League Group A1.